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Finding the Third Proportional to 75.53 and 155.87

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Solution

The third proportional to 75.53 and 155.87 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 155.87 = 155.87 : x
  2. Step 2: Convert to fraction form
    75.53/155.87 = 155.87/x
  3. Step 3: Cross multiply
    75.53x = 155.87 × 155.87
  4. Step 4: Simplify right side
    75.53x = 24,293.97
  5. Step 5: Solve for x
    x = 24,293.97/75.53
  6. Step 6: Final answer
    x = 321.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.