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Finding the Third Proportional to 81.63 and 180.25

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Solution

The third proportional to 81.63 and 180.25 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 180.25 = 180.25 : x
  2. Step 2: Convert to fraction form
    81.63/180.25 = 180.25/x
  3. Step 3: Cross multiply
    81.63x = 180.25 × 180.25
  4. Step 4: Simplify right side
    81.63x = 32,488.65
  5. Step 5: Solve for x
    x = 32,488.65/81.63
  6. Step 6: Final answer
    x = 397.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.