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Finding the Third Proportional to 422,913 and 911,843

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Solution

The third proportional to 422,913 and 911,843 is: 1,966,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,913 : 911,843 = 911,843 : x
  2. Step 2: Convert to fraction form
    422,913/911,843 = 911,843/x
  3. Step 3: Cross multiply
    422,913x = 911,843 × 911,843
  4. Step 4: Simplify right side
    422,913x = 831,457,656,649
  5. Step 5: Solve for x
    x = 831,457,656,649/422,913
  6. Step 6: Final answer
    x = 1,966,025.30

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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.