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Finding the Third Proportional to 3,379.78 and 7,329.66

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Solution

The third proportional to 3,379.78 and 7,329.66 is: 15,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.78 : 7,329.66 = 7,329.66 : x
  2. Step 2: Convert to fraction form
    3,379.78/7,329.66 = 7,329.66/x
  3. Step 3: Cross multiply
    3,379.78x = 7,329.66 × 7,329.66
  4. Step 4: Simplify right side
    3,379.78x = 53,723,860.74
  5. Step 5: Solve for x
    x = 53,723,860.74/3,379.78
  6. Step 6: Final answer
    x = 15,895.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.