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Finding the Third Proportional to 249,590 and 338,691

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Solution

The third proportional to 249,590 and 338,691 is: 459,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,590 : 338,691 = 338,691 : x
  2. Step 2: Convert to fraction form
    249,590/338,691 = 338,691/x
  3. Step 3: Cross multiply
    249,590x = 338,691 × 338,691
  4. Step 4: Simplify right side
    249,590x = 114,711,593,481
  5. Step 5: Solve for x
    x = 114,711,593,481/249,590
  6. Step 6: Final answer
    x = 459,600.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.