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Finding the Third Proportional to 422,845 and 887,209

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Solution

The third proportional to 422,845 and 887,209 is: 1,861,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,845 : 887,209 = 887,209 : x
  2. Step 2: Convert to fraction form
    422,845/887,209 = 887,209/x
  3. Step 3: Cross multiply
    422,845x = 887,209 × 887,209
  4. Step 4: Simplify right side
    422,845x = 787,139,809,681
  5. Step 5: Solve for x
    x = 787,139,809,681/422,845
  6. Step 6: Final answer
    x = 1,861,532.74

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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.