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Finding the Third Proportional to 203,166 and 309,906

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Solution

The third proportional to 203,166 and 309,906 is: 472,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,166 : 309,906 = 309,906 : x
  2. Step 2: Convert to fraction form
    203,166/309,906 = 309,906/x
  3. Step 3: Cross multiply
    203,166x = 309,906 × 309,906
  4. Step 4: Simplify right side
    203,166x = 96,041,728,836
  5. Step 5: Solve for x
    x = 96,041,728,836/203,166
  6. Step 6: Final answer
    x = 472,725.40

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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.