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Finding the Third Proportional to 61,760 and 126,432

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Solution

The third proportional to 61,760 and 126,432 is: 258,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,760 : 126,432 = 126,432 : x
  2. Step 2: Convert to fraction form
    61,760/126,432 = 126,432/x
  3. Step 3: Cross multiply
    61,760x = 126,432 × 126,432
  4. Step 4: Simplify right side
    61,760x = 15,985,050,624
  5. Step 5: Solve for x
    x = 15,985,050,624/61,760
  6. Step 6: Final answer
    x = 258,825.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.