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Finding the Third Proportional to 200,850 and 285,540

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Solution

The third proportional to 200,850 and 285,540 is: 405,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,850 : 285,540 = 285,540 : x
  2. Step 2: Convert to fraction form
    200,850/285,540 = 285,540/x
  3. Step 3: Cross multiply
    200,850x = 285,540 × 285,540
  4. Step 4: Simplify right side
    200,850x = 81,533,091,600
  5. Step 5: Solve for x
    x = 81,533,091,600/200,850
  6. Step 6: Final answer
    x = 405,940.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.