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Finding the Third Proportional to 81,522 and 168,282

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Solution

The third proportional to 81,522 and 168,282 is: 347,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,522 : 168,282 = 168,282 : x
  2. Step 2: Convert to fraction form
    81,522/168,282 = 168,282/x
  3. Step 3: Cross multiply
    81,522x = 168,282 × 168,282
  4. Step 4: Simplify right side
    81,522x = 28,318,831,524
  5. Step 5: Solve for x
    x = 28,318,831,524/81,522
  6. Step 6: Final answer
    x = 347,376.56

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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.