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Finding the Third Proportional to 267,840 and 414,432

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Solution

The third proportional to 267,840 and 414,432 is: 641,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,840 : 414,432 = 414,432 : x
  2. Step 2: Convert to fraction form
    267,840/414,432 = 414,432/x
  3. Step 3: Cross multiply
    267,840x = 414,432 × 414,432
  4. Step 4: Simplify right side
    267,840x = 171,753,882,624
  5. Step 5: Solve for x
    x = 171,753,882,624/267,840
  6. Step 6: Final answer
    x = 641,255.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.