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Finding the Third Proportional to 7.95 and 18.80

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Solution

The third proportional to 7.95 and 18.80 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.95 : 18.80 = 18.80 : x
  2. Step 2: Convert to fraction form
    7.95/18.80 = 18.80/x
  3. Step 3: Cross multiply
    7.95x = 18.80 × 18.80
  4. Step 4: Simplify right side
    7.95x = 353.50
  5. Step 5: Solve for x
    x = 353.50/7.95
  6. Step 6: Final answer
    x = 44.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.