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Finding the Third Proportional to 298,652 and 649,782

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Solution

The third proportional to 298,652 and 649,782 is: 1,413,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,652 : 649,782 = 649,782 : x
  2. Step 2: Convert to fraction form
    298,652/649,782 = 649,782/x
  3. Step 3: Cross multiply
    298,652x = 649,782 × 649,782
  4. Step 4: Simplify right side
    298,652x = 422,216,647,524
  5. Step 5: Solve for x
    x = 422,216,647,524/298,652
  6. Step 6: Final answer
    x = 1,413,741.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.