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Finding the Third Proportional to 311,743.69 and 674,724.94

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Solution

The third proportional to 311,743.69 and 674,724.94 is: 1,460,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,743.69 : 674,724.94 = 674,724.94 : x
  2. Step 2: Convert to fraction form
    311,743.69/674,724.94 = 674,724.94/x
  3. Step 3: Cross multiply
    311,743.69x = 674,724.94 × 674,724.94
  4. Step 4: Simplify right side
    311,743.69x = 455,253,741,284.38
  5. Step 5: Solve for x
    x = 455,253,741,284.38/311,743.69
  6. Step 6: Final answer
    x = 1,460,346.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.