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Finding the Third Proportional to 132,687 and 280,350

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Solution

The third proportional to 132,687 and 280,350 is: 592,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,687 : 280,350 = 280,350 : x
  2. Step 2: Convert to fraction form
    132,687/280,350 = 280,350/x
  3. Step 3: Cross multiply
    132,687x = 280,350 × 280,350
  4. Step 4: Simplify right side
    132,687x = 78,596,122,500
  5. Step 5: Solve for x
    x = 78,596,122,500/132,687
  6. Step 6: Final answer
    x = 592,342.30

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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.