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Finding the Third Proportional to 63,546.75 and 137,553.75

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Solution

The third proportional to 63,546.75 and 137,553.75 is: 297,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546.75 : 137,553.75 = 137,553.75 : x
  2. Step 2: Convert to fraction form
    63,546.75/137,553.75 = 137,553.75/x
  3. Step 3: Cross multiply
    63,546.75x = 137,553.75 × 137,553.75
  4. Step 4: Simplify right side
    63,546.75x = 18,921,034,139.06
  5. Step 5: Solve for x
    x = 18,921,034,139.06/63,546.75
  6. Step 6: Final answer
    x = 297,749.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.