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Finding the Third Proportional to 8.16 and 17.72

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Solution

The third proportional to 8.16 and 17.72 is: 38.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.16 : 17.72 = 17.72 : x
  2. Step 2: Convert to fraction form
    8.16/17.72 = 17.72/x
  3. Step 3: Cross multiply
    8.16x = 17.72 × 17.72
  4. Step 4: Simplify right side
    8.16x = 313.95
  5. Step 5: Solve for x
    x = 313.95/8.16
  6. Step 6: Final answer
    x = 38.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.