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Finding the Third Proportional to 311,857 and 656,313

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Solution

The third proportional to 311,857 and 656,313 is: 1,381,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857 : 656,313 = 656,313 : x
  2. Step 2: Convert to fraction form
    311,857/656,313 = 656,313/x
  3. Step 3: Cross multiply
    311,857x = 656,313 × 656,313
  4. Step 4: Simplify right side
    311,857x = 430,746,753,969
  5. Step 5: Solve for x
    x = 430,746,753,969/311,857
  6. Step 6: Final answer
    x = 1,381,231.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.