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Finding the Third Proportional to 166,691.25 and 258,177.38

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Solution

The third proportional to 166,691.25 and 258,177.38 is: 399,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,691.25 : 258,177.38 = 258,177.38 : x
  2. Step 2: Convert to fraction form
    166,691.25/258,177.38 = 258,177.38/x
  3. Step 3: Cross multiply
    166,691.25x = 258,177.38 × 258,177.38
  4. Step 4: Simplify right side
    166,691.25x = 66,655,556,961.89
  5. Step 5: Solve for x
    x = 66,655,556,961.89/166,691.25
  6. Step 6: Final answer
    x = 399,874.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.