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Finding the Third Proportional to 422,925 and 911,868

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Solution

The third proportional to 422,925 and 911,868 is: 1,966,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,925 : 911,868 = 911,868 : x
  2. Step 2: Convert to fraction form
    422,925/911,868 = 911,868/x
  3. Step 3: Cross multiply
    422,925x = 911,868 × 911,868
  4. Step 4: Simplify right side
    422,925x = 831,503,249,424
  5. Step 5: Solve for x
    x = 831,503,249,424/422,925
  6. Step 6: Final answer
    x = 1,966,077.32

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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.