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Finding the Third Proportional to 414,565 and 621,725

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Solution

The third proportional to 414,565 and 621,725 is: 932,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,565 : 621,725 = 621,725 : x
  2. Step 2: Convert to fraction form
    414,565/621,725 = 621,725/x
  3. Step 3: Cross multiply
    414,565x = 621,725 × 621,725
  4. Step 4: Simplify right side
    414,565x = 386,541,975,625
  5. Step 5: Solve for x
    x = 386,541,975,625/414,565
  6. Step 6: Final answer
    x = 932,403.79

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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.