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Finding the Third Proportional to 420,103.50 and 667,941

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Solution

The third proportional to 420,103.50 and 667,941 is: 1,061,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,103.50 : 667,941 = 667,941 : x
  2. Step 2: Convert to fraction form
    420,103.50/667,941 = 667,941/x
  3. Step 3: Cross multiply
    420,103.50x = 667,941 × 667,941
  4. Step 4: Simplify right side
    420,103.50x = 446,145,179,481
  5. Step 5: Solve for x
    x = 446,145,179,481/420,103.50
  6. Step 6: Final answer
    x = 1,061,988.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.