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Finding the Third Proportional to 151.07 and 311.73

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Solution

The third proportional to 151.07 and 311.73 is: 643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 311.73 = 311.73 : x
  2. Step 2: Convert to fraction form
    151.07/311.73 = 311.73/x
  3. Step 3: Cross multiply
    151.07x = 311.73 × 311.73
  4. Step 4: Simplify right side
    151.07x = 97,175.89
  5. Step 5: Solve for x
    x = 97,175.89/151.07
  6. Step 6: Final answer
    x = 643.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.