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Finding the Third Proportional to 84.84 and 175.31

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Solution

The third proportional to 84.84 and 175.31 is: 362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.84 : 175.31 = 175.31 : x
  2. Step 2: Convert to fraction form
    84.84/175.31 = 175.31/x
  3. Step 3: Cross multiply
    84.84x = 175.31 × 175.31
  4. Step 4: Simplify right side
    84.84x = 30,734.47
  5. Step 5: Solve for x
    x = 30,734.47/84.84
  6. Step 6: Final answer
    x = 362.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.