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Finding the Third Proportional to 131,570 and 284,189

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Solution

The third proportional to 131,570 and 284,189 is: 613,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570 : 284,189 = 284,189 : x
  2. Step 2: Convert to fraction form
    131,570/284,189 = 284,189/x
  3. Step 3: Cross multiply
    131,570x = 284,189 × 284,189
  4. Step 4: Simplify right side
    131,570x = 80,763,387,721
  5. Step 5: Solve for x
    x = 80,763,387,721/131,570
  6. Step 6: Final answer
    x = 613,843.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.