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Finding the Third Proportional to 159.88 and 342.53

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Solution

The third proportional to 159.88 and 342.53 is: 733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.88 : 342.53 = 342.53 : x
  2. Step 2: Convert to fraction form
    159.88/342.53 = 342.53/x
  3. Step 3: Cross multiply
    159.88x = 342.53 × 342.53
  4. Step 4: Simplify right side
    159.88x = 117,327.66
  5. Step 5: Solve for x
    x = 117,327.66/159.88
  6. Step 6: Final answer
    x = 733.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.