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Finding the Third Proportional to 386,902.41 and 516,007.97

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Solution

The third proportional to 386,902.41 and 516,007.97 is: 688,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,902.41 : 516,007.97 = 516,007.97 : x
  2. Step 2: Convert to fraction form
    386,902.41/516,007.97 = 516,007.97/x
  3. Step 3: Cross multiply
    386,902.41x = 516,007.97 × 516,007.97
  4. Step 4: Simplify right side
    386,902.41x = 266,264,223,813.50
  5. Step 5: Solve for x
    x = 266,264,223,813.50/386,902.41
  6. Step 6: Final answer
    x = 688,194.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.