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Finding the Third Proportional to 8.20 and 17.70

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Solution

The third proportional to 8.20 and 17.70 is: 38.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 17.70 = 17.70 : x
  2. Step 2: Convert to fraction form
    8.20/17.70 = 17.70/x
  3. Step 3: Cross multiply
    8.20x = 17.70 × 17.70
  4. Step 4: Simplify right side
    8.20x = 313.12
  5. Step 5: Solve for x
    x = 313.12/8.20
  6. Step 6: Final answer
    x = 38.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.