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Finding the Third Proportional to 200,915 and 311,440

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Solution

The third proportional to 200,915 and 311,440 is: 482,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,915 : 311,440 = 311,440 : x
  2. Step 2: Convert to fraction form
    200,915/311,440 = 311,440/x
  3. Step 3: Cross multiply
    200,915x = 311,440 × 311,440
  4. Step 4: Simplify right side
    200,915x = 96,994,873,600
  5. Step 5: Solve for x
    x = 96,994,873,600/200,915
  6. Step 6: Final answer
    x = 482,765.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.