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Finding the Third Proportional to 386,919 and 516,033

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Solution

The third proportional to 386,919 and 516,033 is: 688,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,919 : 516,033 = 516,033 : x
  2. Step 2: Convert to fraction form
    386,919/516,033 = 516,033/x
  3. Step 3: Cross multiply
    386,919x = 516,033 × 516,033
  4. Step 4: Simplify right side
    386,919x = 266,290,057,089
  5. Step 5: Solve for x
    x = 266,290,057,089/386,919
  6. Step 6: Final answer
    x = 688,232.05

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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.