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Finding the Third Proportional to 75.41 and 159.36

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Solution

The third proportional to 75.41 and 159.36 is: 336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 159.36 = 159.36 : x
  2. Step 2: Convert to fraction form
    75.41/159.36 = 159.36/x
  3. Step 3: Cross multiply
    75.41x = 159.36 × 159.36
  4. Step 4: Simplify right side
    75.41x = 25,396.66
  5. Step 5: Solve for x
    x = 25,396.66/75.41
  6. Step 6: Final answer
    x = 336.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.