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Finding the Third Proportional to 422,851 and 887,221

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Solution

The third proportional to 422,851 and 887,221 is: 1,861,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,851 : 887,221 = 887,221 : x
  2. Step 2: Convert to fraction form
    422,851/887,221 = 887,221/x
  3. Step 3: Cross multiply
    422,851x = 887,221 × 887,221
  4. Step 4: Simplify right side
    422,851x = 787,161,102,841
  5. Step 5: Solve for x
    x = 787,161,102,841/422,851
  6. Step 6: Final answer
    x = 1,861,556.68

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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.