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Finding the Third Proportional to 422,907 and 911,832

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Solution

The third proportional to 422,907 and 911,832 is: 1,966,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907 : 911,832 = 911,832 : x
  2. Step 2: Convert to fraction form
    422,907/911,832 = 911,832/x
  3. Step 3: Cross multiply
    422,907x = 911,832 × 911,832
  4. Step 4: Simplify right side
    422,907x = 831,437,596,224
  5. Step 5: Solve for x
    x = 831,437,596,224/422,907
  6. Step 6: Final answer
    x = 1,966,005.76

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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.