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Finding the Third Proportional to 200,092 and 281,418

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Solution

The third proportional to 200,092 and 281,418 is: 395,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,092 : 281,418 = 281,418 : x
  2. Step 2: Convert to fraction form
    200,092/281,418 = 281,418/x
  3. Step 3: Cross multiply
    200,092x = 281,418 × 281,418
  4. Step 4: Simplify right side
    200,092x = 79,196,090,724
  5. Step 5: Solve for x
    x = 79,196,090,724/200,092
  6. Step 6: Final answer
    x = 395,798.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.