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Finding the Third Proportional to 81,396 and 121,482

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Solution

The third proportional to 81,396 and 121,482 is: 181,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 121,482 = 121,482 : x
  2. Step 2: Convert to fraction form
    81,396/121,482 = 121,482/x
  3. Step 3: Cross multiply
    81,396x = 121,482 × 121,482
  4. Step 4: Simplify right side
    81,396x = 14,757,876,324
  5. Step 5: Solve for x
    x = 14,757,876,324/81,396
  6. Step 6: Final answer
    x = 181,309.60

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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.