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Finding the Third Proportional to 422,850 and 887,218

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Solution

The third proportional to 422,850 and 887,218 is: 1,861,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,850 : 887,218 = 887,218 : x
  2. Step 2: Convert to fraction form
    422,850/887,218 = 887,218/x
  3. Step 3: Cross multiply
    422,850x = 887,218 × 887,218
  4. Step 4: Simplify right side
    422,850x = 787,155,779,524
  5. Step 5: Solve for x
    x = 787,155,779,524/422,850
  6. Step 6: Final answer
    x = 1,861,548.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.