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Finding the Third Proportional to 81,206 and 121,424

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Solution

The third proportional to 81,206 and 121,424 is: 181,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,206 : 121,424 = 121,424 : x
  2. Step 2: Convert to fraction form
    81,206/121,424 = 121,424/x
  3. Step 3: Cross multiply
    81,206x = 121,424 × 121,424
  4. Step 4: Simplify right side
    81,206x = 14,743,787,776
  5. Step 5: Solve for x
    x = 14,743,787,776/81,206
  6. Step 6: Final answer
    x = 181,560.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.