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Finding the Third Proportional to 83,757,540 and 125,724,945

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Solution

The third proportional to 83,757,540 and 125,724,945 is: 188,720,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757,540 : 125,724,945 = 125,724,945 : x
  2. Step 2: Convert to fraction form
    83,757,540/125,724,945 = 125,724,945/x
  3. Step 3: Cross multiply
    83,757,540x = 125,724,945 × 125,724,945
  4. Step 4: Simplify right side
    83,757,540x = 15,806,761,795,253,024
  5. Step 5: Solve for x
    x = 15,806,761,795,253,024/83,757,540
  6. Step 6: Final answer
    x = 188,720,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.