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Finding the Third Proportional to 422,910 and 911,838

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Solution

The third proportional to 422,910 and 911,838 is: 1,966,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910 : 911,838 = 911,838 : x
  2. Step 2: Convert to fraction form
    422,910/911,838 = 911,838/x
  3. Step 3: Cross multiply
    422,910x = 911,838 × 911,838
  4. Step 4: Simplify right side
    422,910x = 831,448,538,244
  5. Step 5: Solve for x
    x = 831,448,538,244/422,910
  6. Step 6: Final answer
    x = 1,966,017.68

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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.