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Finding the Third Proportional to 313,634 and 667,726

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Solution

The third proportional to 313,634 and 667,726 is: 1,421,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,634 : 667,726 = 667,726 : x
  2. Step 2: Convert to fraction form
    313,634/667,726 = 667,726/x
  3. Step 3: Cross multiply
    313,634x = 667,726 × 667,726
  4. Step 4: Simplify right side
    313,634x = 445,858,011,076
  5. Step 5: Solve for x
    x = 445,858,011,076/313,634
  6. Step 6: Final answer
    x = 1,421,586.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.