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Finding the Third Proportional to 64.13 and 159.09

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Solution

The third proportional to 64.13 and 159.09 is: 394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 159.09 = 159.09 : x
  2. Step 2: Convert to fraction form
    64.13/159.09 = 159.09/x
  3. Step 3: Cross multiply
    64.13x = 159.09 × 159.09
  4. Step 4: Simplify right side
    64.13x = 25,310.82
  5. Step 5: Solve for x
    x = 25,310.82/64.13
  6. Step 6: Final answer
    x = 394.71

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.