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Finding the Third Proportional to 408,738 and 898,122

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Solution

The third proportional to 408,738 and 898,122 is: 1,973,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,738 : 898,122 = 898,122 : x
  2. Step 2: Convert to fraction form
    408,738/898,122 = 898,122/x
  3. Step 3: Cross multiply
    408,738x = 898,122 × 898,122
  4. Step 4: Simplify right side
    408,738x = 806,623,126,884
  5. Step 5: Solve for x
    x = 806,623,126,884/408,738
  6. Step 6: Final answer
    x = 1,973,447.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.