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Finding the Third Proportional to 155.79 and 327.60

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Solution

The third proportional to 155.79 and 327.60 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.79 : 327.60 = 327.60 : x
  2. Step 2: Convert to fraction form
    155.79/327.60 = 327.60/x
  3. Step 3: Cross multiply
    155.79x = 327.60 × 327.60
  4. Step 4: Simplify right side
    155.79x = 107,321.18
  5. Step 5: Solve for x
    x = 107,321.18/155.79
  6. Step 6: Final answer
    x = 688.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.