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Finding the Third Proportional to 399,103.50 and 816,850.50

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Solution

The third proportional to 399,103.50 and 816,850.50 is: 1,671,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,103.50 : 816,850.50 = 816,850.50 : x
  2. Step 2: Convert to fraction form
    399,103.50/816,850.50 = 816,850.50/x
  3. Step 3: Cross multiply
    399,103.50x = 816,850.50 × 816,850.50
  4. Step 4: Simplify right side
    399,103.50x = 667,244,739,350.25
  5. Step 5: Solve for x
    x = 667,244,739,350.25/399,103.50
  6. Step 6: Final answer
    x = 1,671,858.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.