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Finding the Third Proportional to 7.87 and 9.27

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Solution

The third proportional to 7.87 and 9.27 is: 10.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.87 : 9.27 = 9.27 : x
  2. Step 2: Convert to fraction form
    7.87/9.27 = 9.27/x
  3. Step 3: Cross multiply
    7.87x = 9.27 × 9.27
  4. Step 4: Simplify right side
    7.87x = 85.91
  5. Step 5: Solve for x
    x = 85.91/7.87
  6. Step 6: Final answer
    x = 10.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.