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Finding the Third Proportional to 16.84 and 31.24

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Solution

The third proportional to 16.84 and 31.24 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.84 : 31.24 = 31.24 : x
  2. Step 2: Convert to fraction form
    16.84/31.24 = 31.24/x
  3. Step 3: Cross multiply
    16.84x = 31.24 × 31.24
  4. Step 4: Simplify right side
    16.84x = 976.23
  5. Step 5: Solve for x
    x = 976.23/16.84
  6. Step 6: Final answer
    x = 57.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.