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Finding the Third Proportional to 90,279 and 137,339

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Solution

The third proportional to 90,279 and 137,339 is: 208,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,279 : 137,339 = 137,339 : x
  2. Step 2: Convert to fraction form
    90,279/137,339 = 137,339/x
  3. Step 3: Cross multiply
    90,279x = 137,339 × 137,339
  4. Step 4: Simplify right side
    90,279x = 18,862,000,921
  5. Step 5: Solve for x
    x = 18,862,000,921/90,279
  6. Step 6: Final answer
    x = 208,930.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.