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Finding the Third Proportional to 200,521 and 445,876

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Solution

The third proportional to 200,521 and 445,876 is: 991,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,521 : 445,876 = 445,876 : x
  2. Step 2: Convert to fraction form
    200,521/445,876 = 445,876/x
  3. Step 3: Cross multiply
    200,521x = 445,876 × 445,876
  4. Step 4: Simplify right side
    200,521x = 198,805,407,376
  5. Step 5: Solve for x
    x = 198,805,407,376/200,521
  6. Step 6: Final answer
    x = 991,444.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.