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Finding the Third Proportional to 12.09 and 26.30

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Solution

The third proportional to 12.09 and 26.30 is: 57.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 26.30 = 26.30 : x
  2. Step 2: Convert to fraction form
    12.09/26.30 = 26.30/x
  3. Step 3: Cross multiply
    12.09x = 26.30 × 26.30
  4. Step 4: Simplify right side
    12.09x = 691.53
  5. Step 5: Solve for x
    x = 691.53/12.09
  6. Step 6: Final answer
    x = 57.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.