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Finding the Third Proportional to 128,839 and 185,569

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Solution

The third proportional to 128,839 and 185,569 is: 267,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,839 : 185,569 = 185,569 : x
  2. Step 2: Convert to fraction form
    128,839/185,569 = 185,569/x
  3. Step 3: Cross multiply
    128,839x = 185,569 × 185,569
  4. Step 4: Simplify right side
    128,839x = 34,435,853,761
  5. Step 5: Solve for x
    x = 34,435,853,761/128,839
  6. Step 6: Final answer
    x = 267,278.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.