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Finding the Third Proportional to 403,781 and 887,165

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Solution

The third proportional to 403,781 and 887,165 is: 1,949,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781 : 887,165 = 887,165 : x
  2. Step 2: Convert to fraction form
    403,781/887,165 = 887,165/x
  3. Step 3: Cross multiply
    403,781x = 887,165 × 887,165
  4. Step 4: Simplify right side
    403,781x = 787,061,737,225
  5. Step 5: Solve for x
    x = 787,061,737,225/403,781
  6. Step 6: Final answer
    x = 1,949,229.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.