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Finding the Third Proportional to 131,546 and 285,268

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Solution

The third proportional to 131,546 and 285,268 is: 618,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,546 : 285,268 = 285,268 : x
  2. Step 2: Convert to fraction form
    131,546/285,268 = 285,268/x
  3. Step 3: Cross multiply
    131,546x = 285,268 × 285,268
  4. Step 4: Simplify right side
    131,546x = 81,377,831,824
  5. Step 5: Solve for x
    x = 81,377,831,824/131,546
  6. Step 6: Final answer
    x = 618,626.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.