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Finding the Third Proportional to 249,081 and 396,531

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Solution

The third proportional to 249,081 and 396,531 is: 631,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,081 : 396,531 = 396,531 : x
  2. Step 2: Convert to fraction form
    249,081/396,531 = 396,531/x
  3. Step 3: Cross multiply
    249,081x = 396,531 × 396,531
  4. Step 4: Simplify right side
    249,081x = 157,236,833,961
  5. Step 5: Solve for x
    x = 157,236,833,961/249,081
  6. Step 6: Final answer
    x = 631,267.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.