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Finding the Third Proportional to 203,490 and 311,286

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Solution

The third proportional to 203,490 and 311,286 is: 476,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,490 : 311,286 = 311,286 : x
  2. Step 2: Convert to fraction form
    203,490/311,286 = 311,286/x
  3. Step 3: Cross multiply
    203,490x = 311,286 × 311,286
  4. Step 4: Simplify right side
    203,490x = 96,898,973,796
  5. Step 5: Solve for x
    x = 96,898,973,796/203,490
  6. Step 6: Final answer
    x = 476,185.43

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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.