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Finding the Third Proportional to 37.27 and 84.30

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Solution

The third proportional to 37.27 and 84.30 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.27 : 84.30 = 84.30 : x
  2. Step 2: Convert to fraction form
    37.27/84.30 = 84.30/x
  3. Step 3: Cross multiply
    37.27x = 84.30 × 84.30
  4. Step 4: Simplify right side
    37.27x = 7,107.28
  5. Step 5: Solve for x
    x = 7,107.28/37.27
  6. Step 6: Final answer
    x = 190.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.