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Finding the Third Proportional to 7.07 and 15.08

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Solution

The third proportional to 7.07 and 15.08 is: 32.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 15.08 = 15.08 : x
  2. Step 2: Convert to fraction form
    7.07/15.08 = 15.08/x
  3. Step 3: Cross multiply
    7.07x = 15.08 × 15.08
  4. Step 4: Simplify right side
    7.07x = 227.47
  5. Step 5: Solve for x
    x = 227.47/7.07
  6. Step 6: Final answer
    x = 32.19

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.