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Finding the Third Proportional to 369.96 and 520.65

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Solution

The third proportional to 369.96 and 520.65 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 520.65 = 520.65 : x
  2. Step 2: Convert to fraction form
    369.96/520.65 = 520.65/x
  3. Step 3: Cross multiply
    369.96x = 520.65 × 520.65
  4. Step 4: Simplify right side
    369.96x = 271,072.76
  5. Step 5: Solve for x
    x = 271,072.76/369.96
  6. Step 6: Final answer
    x = 732.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.