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Finding the Third Proportional to 14.41 and 21.87

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Solution

The third proportional to 14.41 and 21.87 is: 33.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.41 : 21.87 = 21.87 : x
  2. Step 2: Convert to fraction form
    14.41/21.87 = 21.87/x
  3. Step 3: Cross multiply
    14.41x = 21.87 × 21.87
  4. Step 4: Simplify right side
    14.41x = 478.35
  5. Step 5: Solve for x
    x = 478.35/14.41
  6. Step 6: Final answer
    x = 33.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.