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Finding the Third Proportional to 131,920.31 and 204,396.75

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Solution

The third proportional to 131,920.31 and 204,396.75 is: 316,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,920.31 : 204,396.75 = 204,396.75 : x
  2. Step 2: Convert to fraction form
    131,920.31/204,396.75 = 204,396.75/x
  3. Step 3: Cross multiply
    131,920.31x = 204,396.75 × 204,396.75
  4. Step 4: Simplify right side
    131,920.31x = 41,778,031,410.56
  5. Step 5: Solve for x
    x = 41,778,031,410.56/131,920.31
  6. Step 6: Final answer
    x = 316,691.42

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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.