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Finding the Third Proportional to 206,691.75 and 319,400.72

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Solution

The third proportional to 206,691.75 and 319,400.72 is: 493,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.75 : 319,400.72 = 319,400.72 : x
  2. Step 2: Convert to fraction form
    206,691.75/319,400.72 = 319,400.72/x
  3. Step 3: Cross multiply
    206,691.75x = 319,400.72 × 319,400.72
  4. Step 4: Simplify right side
    206,691.75x = 102,016,819,138.02
  5. Step 5: Solve for x
    x = 102,016,819,138.02/206,691.75
  6. Step 6: Final answer
    x = 493,569.86

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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.