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Finding the Third Proportional to 87,633 and 137,289

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Solution

The third proportional to 87,633 and 137,289 is: 215,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,633 : 137,289 = 137,289 : x
  2. Step 2: Convert to fraction form
    87,633/137,289 = 137,289/x
  3. Step 3: Cross multiply
    87,633x = 137,289 × 137,289
  4. Step 4: Simplify right side
    87,633x = 18,848,269,521
  5. Step 5: Solve for x
    x = 18,848,269,521/87,633
  6. Step 6: Final answer
    x = 215,081.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.