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Finding the Third Proportional to 203,484 and 311,274

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Solution

The third proportional to 203,484 and 311,274 is: 476,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484 : 311,274 = 311,274 : x
  2. Step 2: Convert to fraction form
    203,484/311,274 = 311,274/x
  3. Step 3: Cross multiply
    203,484x = 311,274 × 311,274
  4. Step 4: Simplify right side
    203,484x = 96,891,503,076
  5. Step 5: Solve for x
    x = 96,891,503,076/203,484
  6. Step 6: Final answer
    x = 476,162.76

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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.