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Finding the Third Proportional to 83.09 and 175.19

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Solution

The third proportional to 83.09 and 175.19 is: 369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 175.19 = 175.19 : x
  2. Step 2: Convert to fraction form
    83.09/175.19 = 175.19/x
  3. Step 3: Cross multiply
    83.09x = 175.19 × 175.19
  4. Step 4: Simplify right side
    83.09x = 30,690.66
  5. Step 5: Solve for x
    x = 30,690.66/83.09
  6. Step 6: Final answer
    x = 369.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.