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Finding the Third Proportional to 159.47 and 343.41

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Solution

The third proportional to 159.47 and 343.41 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 343.41 = 343.41 : x
  2. Step 2: Convert to fraction form
    159.47/343.41 = 343.41/x
  3. Step 3: Cross multiply
    159.47x = 343.41 × 343.41
  4. Step 4: Simplify right side
    159.47x = 117,927.85
  5. Step 5: Solve for x
    x = 117,927.85/159.47
  6. Step 6: Final answer
    x = 739.50

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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.