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Finding the Third Proportional to 422,231.06 and 654,768.56

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Solution

The third proportional to 422,231.06 and 654,768.56 is: 1,015,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,231.06 : 654,768.56 = 654,768.56 : x
  2. Step 2: Convert to fraction form
    422,231.06/654,768.56 = 654,768.56/x
  3. Step 3: Cross multiply
    422,231.06x = 654,768.56 × 654,768.56
  4. Step 4: Simplify right side
    422,231.06x = 428,721,870,438.32
  5. Step 5: Solve for x
    x = 428,721,870,438.32/422,231.06
  6. Step 6: Final answer
    x = 1,015,372.64

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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.