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Finding the Third Proportional to 159.75 and 334.78

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Solution

The third proportional to 159.75 and 334.78 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 334.78 = 334.78 : x
  2. Step 2: Convert to fraction form
    159.75/334.78 = 334.78/x
  3. Step 3: Cross multiply
    159.75x = 334.78 × 334.78
  4. Step 4: Simplify right side
    159.75x = 112,078.49
  5. Step 5: Solve for x
    x = 112,078.49/159.75
  6. Step 6: Final answer
    x = 701.59

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