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Finding the Third Proportional to 422,851 and 655,761

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Solution

The third proportional to 422,851 and 655,761 is: 1,016,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,851 : 655,761 = 655,761 : x
  2. Step 2: Convert to fraction form
    422,851/655,761 = 655,761/x
  3. Step 3: Cross multiply
    422,851x = 655,761 × 655,761
  4. Step 4: Simplify right side
    422,851x = 430,022,489,121
  5. Step 5: Solve for x
    x = 430,022,489,121/422,851
  6. Step 6: Final answer
    x = 1,016,959.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.