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Finding the Third Proportional to 201,938 and 311,330

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Solution

The third proportional to 201,938 and 311,330 is: 479,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938 : 311,330 = 311,330 : x
  2. Step 2: Convert to fraction form
    201,938/311,330 = 311,330/x
  3. Step 3: Cross multiply
    201,938x = 311,330 × 311,330
  4. Step 4: Simplify right side
    201,938x = 96,926,368,900
  5. Step 5: Solve for x
    x = 96,926,368,900/201,938
  6. Step 6: Final answer
    x = 479,980.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.