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Finding the Third Proportional to 312,474 and 669,231.38

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Solution

The third proportional to 312,474 and 669,231.38 is: 1,433,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474 : 669,231.38 = 669,231.38 : x
  2. Step 2: Convert to fraction form
    312,474/669,231.38 = 669,231.38/x
  3. Step 3: Cross multiply
    312,474x = 669,231.38 × 669,231.38
  4. Step 4: Simplify right side
    312,474x = 447,870,633,284.39
  5. Step 5: Solve for x
    x = 447,870,633,284.39/312,474
  6. Step 6: Final answer
    x = 1,433,305.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.