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Finding the Third Proportional to 201,269 and 282,099

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Solution

The third proportional to 201,269 and 282,099 is: 395,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269 : 282,099 = 282,099 : x
  2. Step 2: Convert to fraction form
    201,269/282,099 = 282,099/x
  3. Step 3: Cross multiply
    201,269x = 282,099 × 282,099
  4. Step 4: Simplify right side
    201,269x = 79,579,845,801
  5. Step 5: Solve for x
    x = 79,579,845,801/201,269
  6. Step 6: Final answer
    x = 395,390.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.