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Finding the Third Proportional to 267,619 and 391,380

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Solution

The third proportional to 267,619 and 391,380 is: 572,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,619 : 391,380 = 391,380 : x
  2. Step 2: Convert to fraction form
    267,619/391,380 = 391,380/x
  3. Step 3: Cross multiply
    267,619x = 391,380 × 391,380
  4. Step 4: Simplify right side
    267,619x = 153,178,304,400
  5. Step 5: Solve for x
    x = 153,178,304,400/267,619
  6. Step 6: Final answer
    x = 572,374.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.