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Finding the Third Proportional to 7.84 and 18.20

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Solution

The third proportional to 7.84 and 18.20 is: 42.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 18.20 = 18.20 : x
  2. Step 2: Convert to fraction form
    7.84/18.20 = 18.20/x
  3. Step 3: Cross multiply
    7.84x = 18.20 × 18.20
  4. Step 4: Simplify right side
    7.84x = 331.21
  5. Step 5: Solve for x
    x = 331.21/7.84
  6. Step 6: Final answer
    x = 42.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.