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Finding the Third Proportional to 203,373 and 309,206

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Solution

The third proportional to 203,373 and 309,206 is: 470,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,373 : 309,206 = 309,206 : x
  2. Step 2: Convert to fraction form
    203,373/309,206 = 309,206/x
  3. Step 3: Cross multiply
    203,373x = 309,206 × 309,206
  4. Step 4: Simplify right side
    203,373x = 95,608,350,436
  5. Step 5: Solve for x
    x = 95,608,350,436/203,373
  6. Step 6: Final answer
    x = 470,113.29

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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.