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Finding the Third Proportional to 18.21 and 26.65

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Solution

The third proportional to 18.21 and 26.65 is: 39.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.21 : 26.65 = 26.65 : x
  2. Step 2: Convert to fraction form
    18.21/26.65 = 26.65/x
  3. Step 3: Cross multiply
    18.21x = 26.65 × 26.65
  4. Step 4: Simplify right side
    18.21x = 710.14
  5. Step 5: Solve for x
    x = 710.14/18.21
  6. Step 6: Final answer
    x = 39.00

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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.