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Finding the Third Proportional to 422,912 and 911,842

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Solution

The third proportional to 422,912 and 911,842 is: 1,966,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,912 : 911,842 = 911,842 : x
  2. Step 2: Convert to fraction form
    422,912/911,842 = 911,842/x
  3. Step 3: Cross multiply
    422,912x = 911,842 × 911,842
  4. Step 4: Simplify right side
    422,912x = 831,455,832,964
  5. Step 5: Solve for x
    x = 831,455,832,964/422,912
  6. Step 6: Final answer
    x = 1,966,025.63

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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.