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Finding the Third Proportional to 7,876.13 and 11,217.38

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Solution

The third proportional to 7,876.13 and 11,217.38 is: 15,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.13 : 11,217.38 = 11,217.38 : x
  2. Step 2: Convert to fraction form
    7,876.13/11,217.38 = 11,217.38/x
  3. Step 3: Cross multiply
    7,876.13x = 11,217.38 × 11,217.38
  4. Step 4: Simplify right side
    7,876.13x = 125,829,501.89
  5. Step 5: Solve for x
    x = 125,829,501.89/7,876.13
  6. Step 6: Final answer
    x = 15,976.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.