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Finding the Third Proportional to 640,682 and 927,974

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Solution

The third proportional to 640,682 and 927,974 is: 1,344,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,682 : 927,974 = 927,974 : x
  2. Step 2: Convert to fraction form
    640,682/927,974 = 927,974/x
  3. Step 3: Cross multiply
    640,682x = 927,974 × 927,974
  4. Step 4: Simplify right side
    640,682x = 861,135,744,676
  5. Step 5: Solve for x
    x = 861,135,744,676/640,682
  6. Step 6: Final answer
    x = 1,344,092.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.