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Finding the Third Proportional to 73,750.50 and 123,049.13

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Solution

The third proportional to 73,750.50 and 123,049.13 is: 205,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,750.50 : 123,049.13 = 123,049.13 : x
  2. Step 2: Convert to fraction form
    73,750.50/123,049.13 = 123,049.13/x
  3. Step 3: Cross multiply
    73,750.50x = 123,049.13 × 123,049.13
  4. Step 4: Simplify right side
    73,750.50x = 15,141,087,163.27
  5. Step 5: Solve for x
    x = 15,141,087,163.27/73,750.50
  6. Step 6: Final answer
    x = 205,301.48

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.