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Finding the Third Proportional to 422,909 and 911,837

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Solution

The third proportional to 422,909 and 911,837 is: 1,966,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,909 : 911,837 = 911,837 : x
  2. Step 2: Convert to fraction form
    422,909/911,837 = 911,837/x
  3. Step 3: Cross multiply
    422,909x = 911,837 × 911,837
  4. Step 4: Simplify right side
    422,909x = 831,446,714,569
  5. Step 5: Solve for x
    x = 831,446,714,569/422,909
  6. Step 6: Final answer
    x = 1,966,018.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.