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Finding the Third Proportional to 261,506 and 391,908

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Solution

The third proportional to 261,506 and 391,908 is: 587,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,506 : 391,908 = 391,908 : x
  2. Step 2: Convert to fraction form
    261,506/391,908 = 391,908/x
  3. Step 3: Cross multiply
    261,506x = 391,908 × 391,908
  4. Step 4: Simplify right side
    261,506x = 153,591,880,464
  5. Step 5: Solve for x
    x = 153,591,880,464/261,506
  6. Step 6: Final answer
    x = 587,335.97

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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.