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Finding the Third Proportional to 8.53 and 12.47

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Solution

The third proportional to 8.53 and 12.47 is: 18.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 12.47 = 12.47 : x
  2. Step 2: Convert to fraction form
    8.53/12.47 = 12.47/x
  3. Step 3: Cross multiply
    8.53x = 12.47 × 12.47
  4. Step 4: Simplify right side
    8.53x = 155.47
  5. Step 5: Solve for x
    x = 155.47/8.53
  6. Step 6: Final answer
    x = 18.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.