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Finding the Third Proportional to 200,887 and 303,921

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Solution

The third proportional to 200,887 and 303,921 is: 459,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,887 : 303,921 = 303,921 : x
  2. Step 2: Convert to fraction form
    200,887/303,921 = 303,921/x
  3. Step 3: Cross multiply
    200,887x = 303,921 × 303,921
  4. Step 4: Simplify right side
    200,887x = 92,367,974,241
  5. Step 5: Solve for x
    x = 92,367,974,241/200,887
  6. Step 6: Final answer
    x = 459,800.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.