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Finding the Third Proportional to 57.67 and 84.36

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Solution

The third proportional to 57.67 and 84.36 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.67 : 84.36 = 84.36 : x
  2. Step 2: Convert to fraction form
    57.67/84.36 = 84.36/x
  3. Step 3: Cross multiply
    57.67x = 84.36 × 84.36
  4. Step 4: Simplify right side
    57.67x = 7,116.92
  5. Step 5: Solve for x
    x = 7,116.92/57.67
  6. Step 6: Final answer
    x = 123.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.