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Finding the Third Proportional to 7.81 and 10.55

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Solution

The third proportional to 7.81 and 10.55 is: 14.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.81 : 10.55 = 10.55 : x
  2. Step 2: Convert to fraction form
    7.81/10.55 = 10.55/x
  3. Step 3: Cross multiply
    7.81x = 10.55 × 10.55
  4. Step 4: Simplify right side
    7.81x = 111.20
  5. Step 5: Solve for x
    x = 111.20/7.81
  6. Step 6: Final answer
    x = 14.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.