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Finding the Third Proportional to 8.47 and 17.78

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Solution

The third proportional to 8.47 and 17.78 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.47 : 17.78 = 17.78 : x
  2. Step 2: Convert to fraction form
    8.47/17.78 = 17.78/x
  3. Step 3: Cross multiply
    8.47x = 17.78 × 17.78
  4. Step 4: Simplify right side
    8.47x = 316.17
  5. Step 5: Solve for x
    x = 316.17/8.47
  6. Step 6: Final answer
    x = 37.33

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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.