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Finding the Third Proportional to 21.38 and 29.72

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Solution

The third proportional to 21.38 and 29.72 is: 41.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.38 : 29.72 = 29.72 : x
  2. Step 2: Convert to fraction form
    21.38/29.72 = 29.72/x
  3. Step 3: Cross multiply
    21.38x = 29.72 × 29.72
  4. Step 4: Simplify right side
    21.38x = 883.20
  5. Step 5: Solve for x
    x = 883.20/21.38
  6. Step 6: Final answer
    x = 41.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.