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Finding the Third Proportional to 386,902.13 and 516,007.13

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Solution

The third proportional to 386,902.13 and 516,007.13 is: 688,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,902.13 : 516,007.13 = 516,007.13 : x
  2. Step 2: Convert to fraction form
    386,902.13/516,007.13 = 516,007.13/x
  3. Step 3: Cross multiply
    386,902.13x = 516,007.13 × 516,007.13
  4. Step 4: Simplify right side
    386,902.13x = 266,263,353,050.77
  5. Step 5: Solve for x
    x = 266,263,353,050.77/386,902.13
  6. Step 6: Final answer
    x = 688,193.05

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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.