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Finding the Third Proportional to 50,959.13 and 110,425.78

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Solution

The third proportional to 50,959.13 and 110,425.78 is: 239,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,959.13 : 110,425.78 = 110,425.78 : x
  2. Step 2: Convert to fraction form
    50,959.13/110,425.78 = 110,425.78/x
  3. Step 3: Cross multiply
    50,959.13x = 110,425.78 × 110,425.78
  4. Step 4: Simplify right side
    50,959.13x = 12,193,853,164.67
  5. Step 5: Solve for x
    x = 12,193,853,164.67/50,959.13
  6. Step 6: Final answer
    x = 239,286.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.