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Finding the Third Proportional to 14.91 and 21.66

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Solution

The third proportional to 14.91 and 21.66 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.91 : 21.66 = 21.66 : x
  2. Step 2: Convert to fraction form
    14.91/21.66 = 21.66/x
  3. Step 3: Cross multiply
    14.91x = 21.66 × 21.66
  4. Step 4: Simplify right side
    14.91x = 468.99
  5. Step 5: Solve for x
    x = 468.99/14.91
  6. Step 6: Final answer
    x = 31.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.