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Finding the Third Proportional to 73.25 and 155.20

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Solution

The third proportional to 73.25 and 155.20 is: 328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.25 : 155.20 = 155.20 : x
  2. Step 2: Convert to fraction form
    73.25/155.20 = 155.20/x
  3. Step 3: Cross multiply
    73.25x = 155.20 × 155.20
  4. Step 4: Simplify right side
    73.25x = 24,086.19
  5. Step 5: Solve for x
    x = 24,086.19/73.25
  6. Step 6: Final answer
    x = 328.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.