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Finding the Third Proportional to 28.48 and 37.65

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Solution

The third proportional to 28.48 and 37.65 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.48 : 37.65 = 37.65 : x
  2. Step 2: Convert to fraction form
    28.48/37.65 = 37.65/x
  3. Step 3: Cross multiply
    28.48x = 37.65 × 37.65
  4. Step 4: Simplify right side
    28.48x = 1,417.70
  5. Step 5: Solve for x
    x = 1,417.70/28.48
  6. Step 6: Final answer
    x = 49.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.