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Finding the Third Proportional to 200,899 and 272,845

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Solution

The third proportional to 200,899 and 272,845 is: 370,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,899 : 272,845 = 272,845 : x
  2. Step 2: Convert to fraction form
    200,899/272,845 = 272,845/x
  3. Step 3: Cross multiply
    200,899x = 272,845 × 272,845
  4. Step 4: Simplify right side
    200,899x = 74,444,394,025
  5. Step 5: Solve for x
    x = 74,444,394,025/200,899
  6. Step 6: Final answer
    x = 370,556.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.