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Finding the Third Proportional to 203,471 and 309,945

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Solution

The third proportional to 203,471 and 309,945 is: 472,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471 : 309,945 = 309,945 : x
  2. Step 2: Convert to fraction form
    203,471/309,945 = 309,945/x
  3. Step 3: Cross multiply
    203,471x = 309,945 × 309,945
  4. Step 4: Simplify right side
    203,471x = 96,065,903,025
  5. Step 5: Solve for x
    x = 96,065,903,025/203,471
  6. Step 6: Final answer
    x = 472,135.60

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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.