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Finding the Third Proportional to 311,914 and 656,422

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Solution

The third proportional to 311,914 and 656,422 is: 1,381,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,914 : 656,422 = 656,422 : x
  2. Step 2: Convert to fraction form
    311,914/656,422 = 656,422/x
  3. Step 3: Cross multiply
    311,914x = 656,422 × 656,422
  4. Step 4: Simplify right side
    311,914x = 430,889,842,084
  5. Step 5: Solve for x
    x = 430,889,842,084/311,914
  6. Step 6: Final answer
    x = 1,381,437.97

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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.