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Finding the Third Proportional to 249,687 and 391,265

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Solution

The third proportional to 249,687 and 391,265 is: 613,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,687 : 391,265 = 391,265 : x
  2. Step 2: Convert to fraction form
    249,687/391,265 = 391,265/x
  3. Step 3: Cross multiply
    249,687x = 391,265 × 391,265
  4. Step 4: Simplify right side
    249,687x = 153,088,300,225
  5. Step 5: Solve for x
    x = 153,088,300,225/249,687
  6. Step 6: Final answer
    x = 613,120.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.