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Finding the Third Proportional to 81,523 and 168,284

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Solution

The third proportional to 81,523 and 168,284 is: 347,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,523 : 168,284 = 168,284 : x
  2. Step 2: Convert to fraction form
    81,523/168,284 = 168,284/x
  3. Step 3: Cross multiply
    81,523x = 168,284 × 168,284
  4. Step 4: Simplify right side
    81,523x = 28,319,504,656
  5. Step 5: Solve for x
    x = 28,319,504,656/81,523
  6. Step 6: Final answer
    x = 347,380.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.