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Finding the Third Proportional to 18.80 and 26.03

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Solution

The third proportional to 18.80 and 26.03 is: 36.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.80 : 26.03 = 26.03 : x
  2. Step 2: Convert to fraction form
    18.80/26.03 = 26.03/x
  3. Step 3: Cross multiply
    18.80x = 26.03 × 26.03
  4. Step 4: Simplify right side
    18.80x = 677.71
  5. Step 5: Solve for x
    x = 677.71/18.80
  6. Step 6: Final answer
    x = 36.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.