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Finding the Third Proportional to 203,168 and 309,909

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Solution

The third proportional to 203,168 and 309,909 is: 472,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,168 : 309,909 = 309,909 : x
  2. Step 2: Convert to fraction form
    203,168/309,909 = 309,909/x
  3. Step 3: Cross multiply
    203,168x = 309,909 × 309,909
  4. Step 4: Simplify right side
    203,168x = 96,043,588,281
  5. Step 5: Solve for x
    x = 96,043,588,281/203,168
  6. Step 6: Final answer
    x = 472,729.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.