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Finding the Third Proportional to 10,961.50 and 23,785

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Solution

The third proportional to 10,961.50 and 23,785 is: 51,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.50 : 23,785 = 23,785 : x
  2. Step 2: Convert to fraction form
    10,961.50/23,785 = 23,785/x
  3. Step 3: Cross multiply
    10,961.50x = 23,785 × 23,785
  4. Step 4: Simplify right side
    10,961.50x = 565,726,225
  5. Step 5: Solve for x
    x = 565,726,225/10,961.50
  6. Step 6: Final answer
    x = 51,610.29

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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.