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Finding the Third Proportional to 16.85 and 21.72

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Solution

The third proportional to 16.85 and 21.72 is: 28.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.85 : 21.72 = 21.72 : x
  2. Step 2: Convert to fraction form
    16.85/21.72 = 21.72/x
  3. Step 3: Cross multiply
    16.85x = 21.72 × 21.72
  4. Step 4: Simplify right side
    16.85x = 471.60
  5. Step 5: Solve for x
    x = 471.60/16.85
  6. Step 6: Final answer
    x = 28.00

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.