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Finding the Third Proportional to 200,218 and 355,916

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Solution

The third proportional to 200,218 and 355,916 is: 632,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,218 : 355,916 = 355,916 : x
  2. Step 2: Convert to fraction form
    200,218/355,916 = 355,916/x
  3. Step 3: Cross multiply
    200,218x = 355,916 × 355,916
  4. Step 4: Simplify right side
    200,218x = 126,676,199,056
  5. Step 5: Solve for x
    x = 126,676,199,056/200,218
  6. Step 6: Final answer
    x = 632,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.