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Finding the Third Proportional to 203,056 and 446,612

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Solution

The third proportional to 203,056 and 446,612 is: 982,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,056 : 446,612 = 446,612 : x
  2. Step 2: Convert to fraction form
    203,056/446,612 = 446,612/x
  3. Step 3: Cross multiply
    203,056x = 446,612 × 446,612
  4. Step 4: Simplify right side
    203,056x = 199,462,278,544
  5. Step 5: Solve for x
    x = 199,462,278,544/203,056
  6. Step 6: Final answer
    x = 982,301.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.