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Finding the Third Proportional to 9.66 and 14.91

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Solution

The third proportional to 9.66 and 14.91 is: 23.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 14.91 = 14.91 : x
  2. Step 2: Convert to fraction form
    9.66/14.91 = 14.91/x
  3. Step 3: Cross multiply
    9.66x = 14.91 × 14.91
  4. Step 4: Simplify right side
    9.66x = 222.20
  5. Step 5: Solve for x
    x = 222.20/9.66
  6. Step 6: Final answer
    x = 23.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.