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Finding the Third Proportional to 378,323 and 791,698

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Solution

The third proportional to 378,323 and 791,698 is: 1,656,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,323 : 791,698 = 791,698 : x
  2. Step 2: Convert to fraction form
    378,323/791,698 = 791,698/x
  3. Step 3: Cross multiply
    378,323x = 791,698 × 791,698
  4. Step 4: Simplify right side
    378,323x = 626,785,723,204
  5. Step 5: Solve for x
    x = 626,785,723,204/378,323
  6. Step 6: Final answer
    x = 1,656,747.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.