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Finding the Third Proportional to 200,921 and 303,971

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Solution

The third proportional to 200,921 and 303,971 is: 459,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,921 : 303,971 = 303,971 : x
  2. Step 2: Convert to fraction form
    200,921/303,971 = 303,971/x
  3. Step 3: Cross multiply
    200,921x = 303,971 × 303,971
  4. Step 4: Simplify right side
    200,921x = 92,398,368,841
  5. Step 5: Solve for x
    x = 92,398,368,841/200,921
  6. Step 6: Final answer
    x = 459,874.12

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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.