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Finding the Third Proportional to 21.71 and 44.57

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Solution

The third proportional to 21.71 and 44.57 is: 91.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.71 : 44.57 = 44.57 : x
  2. Step 2: Convert to fraction form
    21.71/44.57 = 44.57/x
  3. Step 3: Cross multiply
    21.71x = 44.57 × 44.57
  4. Step 4: Simplify right side
    21.71x = 1,986.18
  5. Step 5: Solve for x
    x = 1,986.18/21.71
  6. Step 6: Final answer
    x = 91.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.