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Finding the Third Proportional to 422,777 and 654,350

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Solution

The third proportional to 422,777 and 654,350 is: 1,012,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,777 : 654,350 = 654,350 : x
  2. Step 2: Convert to fraction form
    422,777/654,350 = 654,350/x
  3. Step 3: Cross multiply
    422,777x = 654,350 × 654,350
  4. Step 4: Simplify right side
    422,777x = 428,173,922,500
  5. Step 5: Solve for x
    x = 428,173,922,500/422,777
  6. Step 6: Final answer
    x = 1,012,765.41

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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.