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Finding the Third Proportional to 203,372 and 309,202

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Solution

The third proportional to 203,372 and 309,202 is: 470,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,372 : 309,202 = 309,202 : x
  2. Step 2: Convert to fraction form
    203,372/309,202 = 309,202/x
  3. Step 3: Cross multiply
    203,372x = 309,202 × 309,202
  4. Step 4: Simplify right side
    203,372x = 95,605,876,804
  5. Step 5: Solve for x
    x = 95,605,876,804/203,372
  6. Step 6: Final answer
    x = 470,103.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.