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Finding the Third Proportional to 81 and 175.29

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Solution

The third proportional to 81 and 175.29 is: 379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 175.29 = 175.29 : x
  2. Step 2: Convert to fraction form
    81/175.29 = 175.29/x
  3. Step 3: Cross multiply
    81x = 175.29 × 175.29
  4. Step 4: Simplify right side
    81x = 30,726.26
  5. Step 5: Solve for x
    x = 30,726.26/81
  6. Step 6: Final answer
    x = 379.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.