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Finding the Third Proportional to 8.92 and 18.47

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Solution

The third proportional to 8.92 and 18.47 is: 38.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.92 : 18.47 = 18.47 : x
  2. Step 2: Convert to fraction form
    8.92/18.47 = 18.47/x
  3. Step 3: Cross multiply
    8.92x = 18.47 × 18.47
  4. Step 4: Simplify right side
    8.92x = 341.31
  5. Step 5: Solve for x
    x = 341.31/8.92
  6. Step 6: Final answer
    x = 38.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.