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Finding the Third Proportional to 200,885 and 303,920

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Solution

The third proportional to 200,885 and 303,920 is: 459,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,885 : 303,920 = 303,920 : x
  2. Step 2: Convert to fraction form
    200,885/303,920 = 303,920/x
  3. Step 3: Cross multiply
    200,885x = 303,920 × 303,920
  4. Step 4: Simplify right side
    200,885x = 92,367,366,400
  5. Step 5: Solve for x
    x = 92,367,366,400/200,885
  6. Step 6: Final answer
    x = 459,802.21

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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.