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Finding the Third Proportional to 249,101 and 396,559

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Solution

The third proportional to 249,101 and 396,559 is: 631,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,101 : 396,559 = 396,559 : x
  2. Step 2: Convert to fraction form
    249,101/396,559 = 396,559/x
  3. Step 3: Cross multiply
    249,101x = 396,559 × 396,559
  4. Step 4: Simplify right side
    249,101x = 157,259,040,481
  5. Step 5: Solve for x
    x = 157,259,040,481/249,101
  6. Step 6: Final answer
    x = 631,306.34

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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.