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Finding the Third Proportional to 267,626 and 391,390

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Solution

The third proportional to 267,626 and 391,390 is: 572,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,626 : 391,390 = 391,390 : x
  2. Step 2: Convert to fraction form
    267,626/391,390 = 391,390/x
  3. Step 3: Cross multiply
    267,626x = 391,390 × 391,390
  4. Step 4: Simplify right side
    267,626x = 153,186,132,100
  5. Step 5: Solve for x
    x = 153,186,132,100/267,626
  6. Step 6: Final answer
    x = 572,388.83

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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.