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Finding the Third Proportional to 81,422 and 121,519

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Solution

The third proportional to 81,422 and 121,519 is: 181,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422 : 121,519 = 121,519 : x
  2. Step 2: Convert to fraction form
    81,422/121,519 = 121,519/x
  3. Step 3: Cross multiply
    81,422x = 121,519 × 121,519
  4. Step 4: Simplify right side
    81,422x = 14,766,867,361
  5. Step 5: Solve for x
    x = 14,766,867,361/81,422
  6. Step 6: Final answer
    x = 181,362.13

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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.