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Finding the Third Proportional to 6.87 and 10.12

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Solution

The third proportional to 6.87 and 10.12 is: 14.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.87 : 10.12 = 10.12 : x
  2. Step 2: Convert to fraction form
    6.87/10.12 = 10.12/x
  3. Step 3: Cross multiply
    6.87x = 10.12 × 10.12
  4. Step 4: Simplify right side
    6.87x = 102.49
  5. Step 5: Solve for x
    x = 102.49/6.87
  6. Step 6: Final answer
    x = 14.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.