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Finding the Third Proportional to 12.18 and 26.49

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Solution

The third proportional to 12.18 and 26.49 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.18 : 26.49 = 26.49 : x
  2. Step 2: Convert to fraction form
    12.18/26.49 = 26.49/x
  3. Step 3: Cross multiply
    12.18x = 26.49 × 26.49
  4. Step 4: Simplify right side
    12.18x = 701.67
  5. Step 5: Solve for x
    x = 701.67/12.18
  6. Step 6: Final answer
    x = 57.62

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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.