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Finding the Third Proportional to 8,140.50 and 21,961.13

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Solution

The third proportional to 8,140.50 and 21,961.13 is: 59,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.50 : 21,961.13 = 21,961.13 : x
  2. Step 2: Convert to fraction form
    8,140.50/21,961.13 = 21,961.13/x
  3. Step 3: Cross multiply
    8,140.50x = 21,961.13 × 21,961.13
  4. Step 4: Simplify right side
    8,140.50x = 482,291,011.27
  5. Step 5: Solve for x
    x = 482,291,011.27/8,140.50
  6. Step 6: Final answer
    x = 59,245.87

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.