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Finding the Third Proportional to 81,362 and 121,611

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Solution

The third proportional to 81,362 and 121,611 is: 181,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,362 : 121,611 = 121,611 : x
  2. Step 2: Convert to fraction form
    81,362/121,611 = 121,611/x
  3. Step 3: Cross multiply
    81,362x = 121,611 × 121,611
  4. Step 4: Simplify right side
    81,362x = 14,789,235,321
  5. Step 5: Solve for x
    x = 14,789,235,321/81,362
  6. Step 6: Final answer
    x = 181,770.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.