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Finding the Third Proportional to 326,821 and 703,691

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Solution

The third proportional to 326,821 and 703,691 is: 1,515,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,821 : 703,691 = 703,691 : x
  2. Step 2: Convert to fraction form
    326,821/703,691 = 703,691/x
  3. Step 3: Cross multiply
    326,821x = 703,691 × 703,691
  4. Step 4: Simplify right side
    326,821x = 495,181,023,481
  5. Step 5: Solve for x
    x = 495,181,023,481/326,821
  6. Step 6: Final answer
    x = 1,515,144.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.