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Finding the Third Proportional to 10,908.56 and 23,761.13

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Solution

The third proportional to 10,908.56 and 23,761.13 is: 51,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.56 : 23,761.13 = 23,761.13 : x
  2. Step 2: Convert to fraction form
    10,908.56/23,761.13 = 23,761.13/x
  3. Step 3: Cross multiply
    10,908.56x = 23,761.13 × 23,761.13
  4. Step 4: Simplify right side
    10,908.56x = 564,591,061.27
  5. Step 5: Solve for x
    x = 564,591,061.27/10,908.56
  6. Step 6: Final answer
    x = 51,756.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.