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Finding the Third Proportional to 280,989 and 611,856

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Solution

The third proportional to 280,989 and 611,856 is: 1,332,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,989 : 611,856 = 611,856 : x
  2. Step 2: Convert to fraction form
    280,989/611,856 = 611,856/x
  3. Step 3: Cross multiply
    280,989x = 611,856 × 611,856
  4. Step 4: Simplify right side
    280,989x = 374,367,764,736
  5. Step 5: Solve for x
    x = 374,367,764,736/280,989
  6. Step 6: Final answer
    x = 1,332,321.78

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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.