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Finding the Third Proportional to 335,546,242,139.50 and 736,055,964,787.50

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Solution

The third proportional to 335,546,242,139.50 and 736,055,964,787.50 is: 1,614,616,154,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,546,242,139.50 : 736,055,964,787.50 = 736,055,964,787.50 : x
  2. Step 2: Convert to fraction form
    335,546,242,139.50/736,055,964,787.50 = 736,055,964,787.50/x
  3. Step 3: Cross multiply
    335,546,242,139.50x = 736,055,964,787.50 × 736,055,964,787.50
  4. Step 4: Simplify right side
    335,546,242,139.50x = 541,778,383,299,257,433,063,424
  5. Step 5: Solve for x
    x = 541,778,383,299,257,433,063,424/335,546,242,139.50
  6. Step 6: Final answer
    x = 1,614,616,154,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.