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Finding the Third Proportional to 159.66 and 343.78

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Solution

The third proportional to 159.66 and 343.78 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.66 : 343.78 = 343.78 : x
  2. Step 2: Convert to fraction form
    159.66/343.78 = 343.78/x
  3. Step 3: Cross multiply
    159.66x = 343.78 × 343.78
  4. Step 4: Simplify right side
    159.66x = 118,184.92
  5. Step 5: Solve for x
    x = 118,184.92/159.66
  6. Step 6: Final answer
    x = 740.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.