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Finding the Third Proportional to 97,817 and 203,287

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Solution

The third proportional to 97,817 and 203,287 is: 422,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817 : 203,287 = 203,287 : x
  2. Step 2: Convert to fraction form
    97,817/203,287 = 203,287/x
  3. Step 3: Cross multiply
    97,817x = 203,287 × 203,287
  4. Step 4: Simplify right side
    97,817x = 41,325,604,369
  5. Step 5: Solve for x
    x = 41,325,604,369/97,817
  6. Step 6: Final answer
    x = 422,478.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.