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Finding the Third Proportional to 142,982 and 282,375

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Solution

The third proportional to 142,982 and 282,375 is: 557,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,982 : 282,375 = 282,375 : x
  2. Step 2: Convert to fraction form
    142,982/282,375 = 282,375/x
  3. Step 3: Cross multiply
    142,982x = 282,375 × 282,375
  4. Step 4: Simplify right side
    142,982x = 79,735,640,625
  5. Step 5: Solve for x
    x = 79,735,640,625/142,982
  6. Step 6: Final answer
    x = 557,662.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.