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Finding the Third Proportional to 61,288 and 126,512

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Solution

The third proportional to 61,288 and 126,512 is: 261,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,288 : 126,512 = 126,512 : x
  2. Step 2: Convert to fraction form
    61,288/126,512 = 126,512/x
  3. Step 3: Cross multiply
    61,288x = 126,512 × 126,512
  4. Step 4: Simplify right side
    61,288x = 16,005,286,144
  5. Step 5: Solve for x
    x = 16,005,286,144/61,288
  6. Step 6: Final answer
    x = 261,148.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.