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Finding the Third Proportional to 138,815.25 and 209,931.75

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Solution

The third proportional to 138,815.25 and 209,931.75 is: 317,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,815.25 : 209,931.75 = 209,931.75 : x
  2. Step 2: Convert to fraction form
    138,815.25/209,931.75 = 209,931.75/x
  3. Step 3: Cross multiply
    138,815.25x = 209,931.75 × 209,931.75
  4. Step 4: Simplify right side
    138,815.25x = 44,071,339,658.06
  5. Step 5: Solve for x
    x = 44,071,339,658.06/138,815.25
  6. Step 6: Final answer
    x = 317,481.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.