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Finding the Third Proportional to 138,171.38 and 247,911.75

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Solution

The third proportional to 138,171.38 and 247,911.75 is: 444,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,171.38 : 247,911.75 = 247,911.75 : x
  2. Step 2: Convert to fraction form
    138,171.38/247,911.75 = 247,911.75/x
  3. Step 3: Cross multiply
    138,171.38x = 247,911.75 × 247,911.75
  4. Step 4: Simplify right side
    138,171.38x = 61,460,235,788.06
  5. Step 5: Solve for x
    x = 61,460,235,788.06/138,171.38
  6. Step 6: Final answer
    x = 444,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.