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Finding the Third Proportional to 311,702 and 673,226

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Solution

The third proportional to 311,702 and 673,226 is: 1,454,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,702 : 673,226 = 673,226 : x
  2. Step 2: Convert to fraction form
    311,702/673,226 = 673,226/x
  3. Step 3: Cross multiply
    311,702x = 673,226 × 673,226
  4. Step 4: Simplify right side
    311,702x = 453,233,247,076
  5. Step 5: Solve for x
    x = 453,233,247,076/311,702
  6. Step 6: Final answer
    x = 1,454,059.48

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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.