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Finding the Third Proportional to 6.42 and 13.99

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Solution

The third proportional to 6.42 and 13.99 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 13.99 = 13.99 : x
  2. Step 2: Convert to fraction form
    6.42/13.99 = 13.99/x
  3. Step 3: Cross multiply
    6.42x = 13.99 × 13.99
  4. Step 4: Simplify right side
    6.42x = 195.66
  5. Step 5: Solve for x
    x = 195.66/6.42
  6. Step 6: Final answer
    x = 30.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.