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Finding the Third Proportional to 132,678 and 280,331

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Solution

The third proportional to 132,678 and 280,331 is: 592,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678 : 280,331 = 280,331 : x
  2. Step 2: Convert to fraction form
    132,678/280,331 = 280,331/x
  3. Step 3: Cross multiply
    132,678x = 280,331 × 280,331
  4. Step 4: Simplify right side
    132,678x = 78,585,469,561
  5. Step 5: Solve for x
    x = 78,585,469,561/132,678
  6. Step 6: Final answer
    x = 592,302.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.