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Finding the Third Proportional to 10.16 and 15.80

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Solution

The third proportional to 10.16 and 15.80 is: 24.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 15.80 = 15.80 : x
  2. Step 2: Convert to fraction form
    10.16/15.80 = 15.80/x
  3. Step 3: Cross multiply
    10.16x = 15.80 × 15.80
  4. Step 4: Simplify right side
    10.16x = 249.73
  5. Step 5: Solve for x
    x = 249.73/10.16
  6. Step 6: Final answer
    x = 24.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.