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Finding the Third Proportional to 422,915.20 and 911,847.66

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Solution

The third proportional to 422,915.20 and 911,847.66 is: 1,966,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,915.20 : 911,847.66 = 911,847.66 : x
  2. Step 2: Convert to fraction form
    422,915.20/911,847.66 = 911,847.66/x
  3. Step 3: Cross multiply
    422,915.20x = 911,847.66 × 911,847.66
  4. Step 4: Simplify right side
    422,915.20x = 831,466,148,208.62
  5. Step 5: Solve for x
    x = 831,466,148,208.62/422,915.20
  6. Step 6: Final answer
    x = 1,966,035.13

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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.