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Finding the Third Proportional to 140,445 and 198,725

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Solution

The third proportional to 140,445 and 198,725 is: 281,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,445 : 198,725 = 198,725 : x
  2. Step 2: Convert to fraction form
    140,445/198,725 = 198,725/x
  3. Step 3: Cross multiply
    140,445x = 198,725 × 198,725
  4. Step 4: Simplify right side
    140,445x = 39,491,625,625
  5. Step 5: Solve for x
    x = 39,491,625,625/140,445
  6. Step 6: Final answer
    x = 281,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.