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Finding the Third Proportional to 87,780 and 131,478

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Solution

The third proportional to 87,780 and 131,478 is: 196,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780 : 131,478 = 131,478 : x
  2. Step 2: Convert to fraction form
    87,780/131,478 = 131,478/x
  3. Step 3: Cross multiply
    87,780x = 131,478 × 131,478
  4. Step 4: Simplify right side
    87,780x = 17,286,464,484
  5. Step 5: Solve for x
    x = 17,286,464,484/87,780
  6. Step 6: Final answer
    x = 196,929.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.