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Finding the Third Proportional to 201,420 and 282,349

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Solution

The third proportional to 201,420 and 282,349 is: 395,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420 : 282,349 = 282,349 : x
  2. Step 2: Convert to fraction form
    201,420/282,349 = 282,349/x
  3. Step 3: Cross multiply
    201,420x = 282,349 × 282,349
  4. Step 4: Simplify right side
    201,420x = 79,720,957,801
  5. Step 5: Solve for x
    x = 79,720,957,801/201,420
  6. Step 6: Final answer
    x = 395,794.65

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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.