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Finding the Third Proportional to 7.76 and 10.27

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Solution

The third proportional to 7.76 and 10.27 is: 13.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.76 : 10.27 = 10.27 : x
  2. Step 2: Convert to fraction form
    7.76/10.27 = 10.27/x
  3. Step 3: Cross multiply
    7.76x = 10.27 × 10.27
  4. Step 4: Simplify right side
    7.76x = 105.57
  5. Step 5: Solve for x
    x = 105.57/7.76
  6. Step 6: Final answer
    x = 13.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.