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Finding the Third Proportional to 9.62 and 14.04

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Solution

The third proportional to 9.62 and 14.04 is: 20.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.62 : 14.04 = 14.04 : x
  2. Step 2: Convert to fraction form
    9.62/14.04 = 14.04/x
  3. Step 3: Cross multiply
    9.62x = 14.04 × 14.04
  4. Step 4: Simplify right side
    9.62x = 197.26
  5. Step 5: Solve for x
    x = 197.26/9.62
  6. Step 6: Final answer
    x = 20.52

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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.