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Finding the Third Proportional to 3.57 and 7.02

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Solution

The third proportional to 3.57 and 7.02 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.57 : 7.02 = 7.02 : x
  2. Step 2: Convert to fraction form
    3.57/7.02 = 7.02/x
  3. Step 3: Cross multiply
    3.57x = 7.02 × 7.02
  4. Step 4: Simplify right side
    3.57x = 49.21
  5. Step 5: Solve for x
    x = 49.21/3.57
  6. Step 6: Final answer
    x = 13.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.