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Finding the Third Proportional to 20.46 and 21.76

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Solution

The third proportional to 20.46 and 21.76 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 21.76 = 21.76 : x
  2. Step 2: Convert to fraction form
    20.46/21.76 = 21.76/x
  3. Step 3: Cross multiply
    20.46x = 21.76 × 21.76
  4. Step 4: Simplify right side
    20.46x = 473.57
  5. Step 5: Solve for x
    x = 473.57/20.46
  6. Step 6: Final answer
    x = 23.15

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.