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Finding the Third Proportional to 383.72 and 579.14

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Solution

The third proportional to 383.72 and 579.14 is: 874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 579.14 = 579.14 : x
  2. Step 2: Convert to fraction form
    383.72/579.14 = 579.14/x
  3. Step 3: Cross multiply
    383.72x = 579.14 × 579.14
  4. Step 4: Simplify right side
    383.72x = 335,405.56
  5. Step 5: Solve for x
    x = 335,405.56/383.72
  6. Step 6: Final answer
    x = 874.09

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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.