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Finding the Third Proportional to 203,478 and 311,265

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Solution

The third proportional to 203,478 and 311,265 is: 476,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478 : 311,265 = 311,265 : x
  2. Step 2: Convert to fraction form
    203,478/311,265 = 311,265/x
  3. Step 3: Cross multiply
    203,478x = 311,265 × 311,265
  4. Step 4: Simplify right side
    203,478x = 96,885,900,225
  5. Step 5: Solve for x
    x = 96,885,900,225/203,478
  6. Step 6: Final answer
    x = 476,149.27

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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.