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Finding the Third Proportional to 16.31 and 21.80

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Solution

The third proportional to 16.31 and 21.80 is: 29.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 21.80 = 21.80 : x
  2. Step 2: Convert to fraction form
    16.31/21.80 = 21.80/x
  3. Step 3: Cross multiply
    16.31x = 21.80 × 21.80
  4. Step 4: Simplify right side
    16.31x = 475.10
  5. Step 5: Solve for x
    x = 475.10/16.31
  6. Step 6: Final answer
    x = 29.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.