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Finding the Third Proportional to 200,916 and 311,346

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Solution

The third proportional to 200,916 and 311,346 is: 482,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916 : 311,346 = 311,346 : x
  2. Step 2: Convert to fraction form
    200,916/311,346 = 311,346/x
  3. Step 3: Cross multiply
    200,916x = 311,346 × 311,346
  4. Step 4: Simplify right side
    200,916x = 96,936,331,716
  5. Step 5: Solve for x
    x = 96,936,331,716/200,916
  6. Step 6: Final answer
    x = 482,471.94

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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.