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Finding the Third Proportional to 203,476 and 311,262

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Solution

The third proportional to 203,476 and 311,262 is: 476,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476 : 311,262 = 311,262 : x
  2. Step 2: Convert to fraction form
    203,476/311,262 = 311,262/x
  3. Step 3: Cross multiply
    203,476x = 311,262 × 311,262
  4. Step 4: Simplify right side
    203,476x = 96,884,032,644
  5. Step 5: Solve for x
    x = 96,884,032,644/203,476
  6. Step 6: Final answer
    x = 476,144.77

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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.