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Finding the Third Proportional to 61,099 and 127,785

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Solution

The third proportional to 61,099 and 127,785 is: 267,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,099 : 127,785 = 127,785 : x
  2. Step 2: Convert to fraction form
    61,099/127,785 = 127,785/x
  3. Step 3: Cross multiply
    61,099x = 127,785 × 127,785
  4. Step 4: Simplify right side
    61,099x = 16,329,006,225
  5. Step 5: Solve for x
    x = 16,329,006,225/61,099
  6. Step 6: Final answer
    x = 267,254.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.