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Finding the Third Proportional to 157.73 and 239.45

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Solution

The third proportional to 157.73 and 239.45 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.73 : 239.45 = 239.45 : x
  2. Step 2: Convert to fraction form
    157.73/239.45 = 239.45/x
  3. Step 3: Cross multiply
    157.73x = 239.45 × 239.45
  4. Step 4: Simplify right side
    157.73x = 57,335.93
  5. Step 5: Solve for x
    x = 57,335.93/157.73
  6. Step 6: Final answer
    x = 363.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.