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Finding the Third Proportional to 132,780 and 199,314

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Solution

The third proportional to 132,780 and 199,314 is: 299,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,780 : 199,314 = 199,314 : x
  2. Step 2: Convert to fraction form
    132,780/199,314 = 199,314/x
  3. Step 3: Cross multiply
    132,780x = 199,314 × 199,314
  4. Step 4: Simplify right side
    132,780x = 39,726,070,596
  5. Step 5: Solve for x
    x = 39,726,070,596/132,780
  6. Step 6: Final answer
    x = 299,187.16

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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.