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Finding the Third Proportional to 321,676 and 686,908

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Solution

The third proportional to 321,676 and 686,908 is: 1,466,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,676 : 686,908 = 686,908 : x
  2. Step 2: Convert to fraction form
    321,676/686,908 = 686,908/x
  3. Step 3: Cross multiply
    321,676x = 686,908 × 686,908
  4. Step 4: Simplify right side
    321,676x = 471,842,600,464
  5. Step 5: Solve for x
    x = 471,842,600,464/321,676
  6. Step 6: Final answer
    x = 1,466,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.