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Finding the Third Proportional to 8.74 and 18.37

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Solution

The third proportional to 8.74 and 18.37 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.74 : 18.37 = 18.37 : x
  2. Step 2: Convert to fraction form
    8.74/18.37 = 18.37/x
  3. Step 3: Cross multiply
    8.74x = 18.37 × 18.37
  4. Step 4: Simplify right side
    8.74x = 337.46
  5. Step 5: Solve for x
    x = 337.46/8.74
  6. Step 6: Final answer
    x = 38.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.