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Finding the Third Proportional to 18.07 and 26.48

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Solution

The third proportional to 18.07 and 26.48 is: 38.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.07 : 26.48 = 26.48 : x
  2. Step 2: Convert to fraction form
    18.07/26.48 = 26.48/x
  3. Step 3: Cross multiply
    18.07x = 26.48 × 26.48
  4. Step 4: Simplify right side
    18.07x = 700.93
  5. Step 5: Solve for x
    x = 700.93/18.07
  6. Step 6: Final answer
    x = 38.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.