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Finding the Third Proportional to 131,665 and 283,311

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Solution

The third proportional to 131,665 and 283,311 is: 609,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,665 : 283,311 = 283,311 : x
  2. Step 2: Convert to fraction form
    131,665/283,311 = 283,311/x
  3. Step 3: Cross multiply
    131,665x = 283,311 × 283,311
  4. Step 4: Simplify right side
    131,665x = 80,265,122,721
  5. Step 5: Solve for x
    x = 80,265,122,721/131,665
  6. Step 6: Final answer
    x = 609,616.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.