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Finding the Third Proportional to 7.02 and 7.85

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Solution

The third proportional to 7.02 and 7.85 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.02 : 7.85 = 7.85 : x
  2. Step 2: Convert to fraction form
    7.02/7.85 = 7.85/x
  3. Step 3: Cross multiply
    7.02x = 7.85 × 7.85
  4. Step 4: Simplify right side
    7.02x = 61.58
  5. Step 5: Solve for x
    x = 61.58/7.02
  6. Step 6: Final answer
    x = 8.78

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.