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Finding the Third Proportional to 203,408 and 420,961

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Solution

The third proportional to 203,408 and 420,961 is: 871,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,408 : 420,961 = 420,961 : x
  2. Step 2: Convert to fraction form
    203,408/420,961 = 420,961/x
  3. Step 3: Cross multiply
    203,408x = 420,961 × 420,961
  4. Step 4: Simplify right side
    203,408x = 177,208,163,521
  5. Step 5: Solve for x
    x = 177,208,163,521/203,408
  6. Step 6: Final answer
    x = 871,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.