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Finding the Third Proportional to 38.23 and 57.70

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Solution

The third proportional to 38.23 and 57.70 is: 87.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.23 : 57.70 = 57.70 : x
  2. Step 2: Convert to fraction form
    38.23/57.70 = 57.70/x
  3. Step 3: Cross multiply
    38.23x = 57.70 × 57.70
  4. Step 4: Simplify right side
    38.23x = 3,329.82
  5. Step 5: Solve for x
    x = 3,329.82/38.23
  6. Step 6: Final answer
    x = 87.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.