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Finding the Third Proportional to 6.20 and 13.59

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Solution

The third proportional to 6.20 and 13.59 is: 29.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.20 : 13.59 = 13.59 : x
  2. Step 2: Convert to fraction form
    6.20/13.59 = 13.59/x
  3. Step 3: Cross multiply
    6.20x = 13.59 × 13.59
  4. Step 4: Simplify right side
    6.20x = 184.75
  5. Step 5: Solve for x
    x = 184.75/6.20
  6. Step 6: Final answer
    x = 29.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.