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Finding the Third Proportional to 8.52 and 17.87

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Solution

The third proportional to 8.52 and 17.87 is: 37.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.52 : 17.87 = 17.87 : x
  2. Step 2: Convert to fraction form
    8.52/17.87 = 17.87/x
  3. Step 3: Cross multiply
    8.52x = 17.87 × 17.87
  4. Step 4: Simplify right side
    8.52x = 319.36
  5. Step 5: Solve for x
    x = 319.36/8.52
  6. Step 6: Final answer
    x = 37.49

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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.