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Finding the Third Proportional to 5.09 and 11.13

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Solution

The third proportional to 5.09 and 11.13 is: 24.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    5.09/11.13 = 11.13/x
  3. Step 3: Cross multiply
    5.09x = 11.13 × 11.13
  4. Step 4: Simplify right side
    5.09x = 123.91
  5. Step 5: Solve for x
    x = 123.91/5.09
  6. Step 6: Final answer
    x = 24.33

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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.