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Finding the Third Proportional to 422,202.38 and 654,692.63

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Solution

The third proportional to 422,202.38 and 654,692.63 is: 1,015,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,202.38 : 654,692.63 = 654,692.63 : x
  2. Step 2: Convert to fraction form
    422,202.38/654,692.63 = 654,692.63/x
  3. Step 3: Cross multiply
    422,202.38x = 654,692.63 × 654,692.63
  4. Step 4: Simplify right side
    422,202.38x = 428,622,433,229.39
  5. Step 5: Solve for x
    x = 428,622,433,229.39/422,202.38
  6. Step 6: Final answer
    x = 1,015,206.12

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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.