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Finding the Third Proportional to 83,546 and 182,336

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Solution

The third proportional to 83,546 and 182,336 is: 397,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546 : 182,336 = 182,336 : x
  2. Step 2: Convert to fraction form
    83,546/182,336 = 182,336/x
  3. Step 3: Cross multiply
    83,546x = 182,336 × 182,336
  4. Step 4: Simplify right side
    83,546x = 33,246,416,896
  5. Step 5: Solve for x
    x = 33,246,416,896/83,546
  6. Step 6: Final answer
    x = 397,941.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.