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Finding the Third Proportional to 305,353.13 and 667,279.69

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Solution

The third proportional to 305,353.13 and 667,279.69 is: 1,458,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,353.13 : 667,279.69 = 667,279.69 : x
  2. Step 2: Convert to fraction form
    305,353.13/667,279.69 = 667,279.69/x
  3. Step 3: Cross multiply
    305,353.13x = 667,279.69 × 667,279.69
  4. Step 4: Simplify right side
    305,353.13x = 445,262,181,350.10
  5. Step 5: Solve for x
    x = 445,262,181,350.10/305,353.13
  6. Step 6: Final answer
    x = 1,458,187.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.