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Finding the Third Proportional to 15.33 and 16.90

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Solution

The third proportional to 15.33 and 16.90 is: 18.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.33 : 16.90 = 16.90 : x
  2. Step 2: Convert to fraction form
    15.33/16.90 = 16.90/x
  3. Step 3: Cross multiply
    15.33x = 16.90 × 16.90
  4. Step 4: Simplify right side
    15.33x = 285.56
  5. Step 5: Solve for x
    x = 285.56/15.33
  6. Step 6: Final answer
    x = 18.63

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.