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Finding the Third Proportional to 203,556 and 311,382

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Solution

The third proportional to 203,556 and 311,382 is: 476,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556 : 311,382 = 311,382 : x
  2. Step 2: Convert to fraction form
    203,556/311,382 = 311,382/x
  3. Step 3: Cross multiply
    203,556x = 311,382 × 311,382
  4. Step 4: Simplify right side
    203,556x = 96,958,749,924
  5. Step 5: Solve for x
    x = 96,958,749,924/203,556
  6. Step 6: Final answer
    x = 476,324.70

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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.