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Finding the Third Proportional to 36.49 and 57.80

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Solution

The third proportional to 36.49 and 57.80 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.49 : 57.80 = 57.80 : x
  2. Step 2: Convert to fraction form
    36.49/57.80 = 57.80/x
  3. Step 3: Cross multiply
    36.49x = 57.80 × 57.80
  4. Step 4: Simplify right side
    36.49x = 3,340.48
  5. Step 5: Solve for x
    x = 3,340.48/36.49
  6. Step 6: Final answer
    x = 91.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.