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Finding the Third Proportional to 42.19 and 95.77

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Solution

The third proportional to 42.19 and 95.77 is: 217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 95.77 = 95.77 : x
  2. Step 2: Convert to fraction form
    42.19/95.77 = 95.77/x
  3. Step 3: Cross multiply
    42.19x = 95.77 × 95.77
  4. Step 4: Simplify right side
    42.19x = 9,171.05
  5. Step 5: Solve for x
    x = 9,171.05/42.19
  6. Step 6: Final answer
    x = 217.39

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.