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Finding the Third Proportional to 8.95 and 12.20

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Solution

The third proportional to 8.95 and 12.20 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.95 : 12.20 = 12.20 : x
  2. Step 2: Convert to fraction form
    8.95/12.20 = 12.20/x
  3. Step 3: Cross multiply
    8.95x = 12.20 × 12.20
  4. Step 4: Simplify right side
    8.95x = 148.91
  5. Step 5: Solve for x
    x = 148.91/8.95
  6. Step 6: Final answer
    x = 16.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.