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Finding the Third Proportional to 102,285 and 137,589

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Solution

The third proportional to 102,285 and 137,589 is: 185,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285 : 137,589 = 137,589 : x
  2. Step 2: Convert to fraction form
    102,285/137,589 = 137,589/x
  3. Step 3: Cross multiply
    102,285x = 137,589 × 137,589
  4. Step 4: Simplify right side
    102,285x = 18,930,732,921
  5. Step 5: Solve for x
    x = 18,930,732,921/102,285
  6. Step 6: Final answer
    x = 185,078.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.