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Finding the Third Proportional to 132,543.50 and 204,775

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Solution

The third proportional to 132,543.50 and 204,775 is: 316,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.50 : 204,775 = 204,775 : x
  2. Step 2: Convert to fraction form
    132,543.50/204,775 = 204,775/x
  3. Step 3: Cross multiply
    132,543.50x = 204,775 × 204,775
  4. Step 4: Simplify right side
    132,543.50x = 41,932,800,625
  5. Step 5: Solve for x
    x = 41,932,800,625/132,543.50
  6. Step 6: Final answer
    x = 316,370.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.