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Finding the Third Proportional to 165.61 and 327.84

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Solution

The third proportional to 165.61 and 327.84 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.61 : 327.84 = 327.84 : x
  2. Step 2: Convert to fraction form
    165.61/327.84 = 327.84/x
  3. Step 3: Cross multiply
    165.61x = 327.84 × 327.84
  4. Step 4: Simplify right side
    165.61x = 107,481.52
  5. Step 5: Solve for x
    x = 107,481.52/165.61
  6. Step 6: Final answer
    x = 649.01

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.