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Finding the Third Proportional to 251.67 and 379.01

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Solution

The third proportional to 251.67 and 379.01 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 379.01 = 379.01 : x
  2. Step 2: Convert to fraction form
    251.67/379.01 = 379.01/x
  3. Step 3: Cross multiply
    251.67x = 379.01 × 379.01
  4. Step 4: Simplify right side
    251.67x = 143,646.92
  5. Step 5: Solve for x
    x = 143,646.92/251.67
  6. Step 6: Final answer
    x = 570.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.