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Finding the Third Proportional to 422,820 and 654,825

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Solution

The third proportional to 422,820 and 654,825 is: 1,014,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,820 : 654,825 = 654,825 : x
  2. Step 2: Convert to fraction form
    422,820/654,825 = 654,825/x
  3. Step 3: Cross multiply
    422,820x = 654,825 × 654,825
  4. Step 4: Simplify right side
    422,820x = 428,795,780,625
  5. Step 5: Solve for x
    x = 428,795,780,625/422,820
  6. Step 6: Final answer
    x = 1,014,133.16

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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.