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Finding the Third Proportional to 422,846 and 887,211

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Solution

The third proportional to 422,846 and 887,211 is: 1,861,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,846 : 887,211 = 887,211 : x
  2. Step 2: Convert to fraction form
    422,846/887,211 = 887,211/x
  3. Step 3: Cross multiply
    422,846x = 887,211 × 887,211
  4. Step 4: Simplify right side
    422,846x = 787,143,358,521
  5. Step 5: Solve for x
    x = 787,143,358,521/422,846
  6. Step 6: Final answer
    x = 1,861,536.73

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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.