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Finding the Third Proportional to 57,456 and 126,432

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Solution

The third proportional to 57,456 and 126,432 is: 278,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 126,432 = 126,432 : x
  2. Step 2: Convert to fraction form
    57,456/126,432 = 126,432/x
  3. Step 3: Cross multiply
    57,456x = 126,432 × 126,432
  4. Step 4: Simplify right side
    57,456x = 15,985,050,624
  5. Step 5: Solve for x
    x = 15,985,050,624/57,456
  6. Step 6: Final answer
    x = 278,213.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.