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Finding the Third Proportional to 14.55 and 21.41

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Solution

The third proportional to 14.55 and 21.41 is: 31.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.55 : 21.41 = 21.41 : x
  2. Step 2: Convert to fraction form
    14.55/21.41 = 21.41/x
  3. Step 3: Cross multiply
    14.55x = 21.41 × 21.41
  4. Step 4: Simplify right side
    14.55x = 458.39
  5. Step 5: Solve for x
    x = 458.39/14.55
  6. Step 6: Final answer
    x = 31.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.