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Finding the Third Proportional to 12.15 and 26.51

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Solution

The third proportional to 12.15 and 26.51 is: 57.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.15 : 26.51 = 26.51 : x
  2. Step 2: Convert to fraction form
    12.15/26.51 = 26.51/x
  3. Step 3: Cross multiply
    12.15x = 26.51 × 26.51
  4. Step 4: Simplify right side
    12.15x = 702.66
  5. Step 5: Solve for x
    x = 702.66/12.15
  6. Step 6: Final answer
    x = 57.85

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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.