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Finding the Third Proportional to 310,420,918.50 and 675,954,235.50

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Solution

The third proportional to 310,420,918.50 and 675,954,235.50 is: 1,471,917,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,918.50 : 675,954,235.50 = 675,954,235.50 : x
  2. Step 2: Convert to fraction form
    310,420,918.50/675,954,235.50 = 675,954,235.50/x
  3. Step 3: Cross multiply
    310,420,918.50x = 675,954,235.50 × 675,954,235.50
  4. Step 4: Simplify right side
    310,420,918.50x = 456,914,128,490,389,440
  5. Step 5: Solve for x
    x = 456,914,128,490,389,440/310,420,918.50
  6. Step 6: Final answer
    x = 1,471,917,970.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.