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Finding the Third Proportional to 422,914 and 911,845

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Solution

The third proportional to 422,914 and 911,845 is: 1,966,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914 : 911,845 = 911,845 : x
  2. Step 2: Convert to fraction form
    422,914/911,845 = 911,845/x
  3. Step 3: Cross multiply
    422,914x = 911,845 × 911,845
  4. Step 4: Simplify right side
    422,914x = 831,461,304,025
  5. Step 5: Solve for x
    x = 831,461,304,025/422,914
  6. Step 6: Final answer
    x = 1,966,029.27

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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.