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Finding the Third Proportional to 85,603 and 206,225

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Solution

The third proportional to 85,603 and 206,225 is: 496,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,603 : 206,225 = 206,225 : x
  2. Step 2: Convert to fraction form
    85,603/206,225 = 206,225/x
  3. Step 3: Cross multiply
    85,603x = 206,225 × 206,225
  4. Step 4: Simplify right side
    85,603x = 42,528,750,625
  5. Step 5: Solve for x
    x = 42,528,750,625/85,603
  6. Step 6: Final answer
    x = 496,813.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.