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Finding the Third Proportional to 7.86 and 9.28

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Solution

The third proportional to 7.86 and 9.28 is: 10.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.86 : 9.28 = 9.28 : x
  2. Step 2: Convert to fraction form
    7.86/9.28 = 9.28/x
  3. Step 3: Cross multiply
    7.86x = 9.28 × 9.28
  4. Step 4: Simplify right side
    7.86x = 86.11
  5. Step 5: Solve for x
    x = 86.11/7.86
  6. Step 6: Final answer
    x = 10.96

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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.