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Finding the Third Proportional to 201,390 and 282,311

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Solution

The third proportional to 201,390 and 282,311 is: 395,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,390 : 282,311 = 282,311 : x
  2. Step 2: Convert to fraction form
    201,390/282,311 = 282,311/x
  3. Step 3: Cross multiply
    201,390x = 282,311 × 282,311
  4. Step 4: Simplify right side
    201,390x = 79,699,500,721
  5. Step 5: Solve for x
    x = 79,699,500,721/201,390
  6. Step 6: Final answer
    x = 395,747.06

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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.