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Finding the Third Proportional to 414,632 and 621,812

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Solution

The third proportional to 414,632 and 621,812 is: 932,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,632 : 621,812 = 621,812 : x
  2. Step 2: Convert to fraction form
    414,632/621,812 = 621,812/x
  3. Step 3: Cross multiply
    414,632x = 621,812 × 621,812
  4. Step 4: Simplify right side
    414,632x = 386,650,163,344
  5. Step 5: Solve for x
    x = 386,650,163,344/414,632
  6. Step 6: Final answer
    x = 932,514.04

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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.