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Finding the Third Proportional to 84,833,616 and 134,546,256

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Solution

The third proportional to 84,833,616 and 134,546,256 is: 213,390,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,833,616 : 134,546,256 = 134,546,256 : x
  2. Step 2: Convert to fraction form
    84,833,616/134,546,256 = 134,546,256/x
  3. Step 3: Cross multiply
    84,833,616x = 134,546,256 × 134,546,256
  4. Step 4: Simplify right side
    84,833,616x = 18,102,695,003,617,536
  5. Step 5: Solve for x
    x = 18,102,695,003,617,536/84,833,616
  6. Step 6: Final answer
    x = 213,390,585.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.