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Finding the Third Proportional to 81,204 and 121,395

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Solution

The third proportional to 81,204 and 121,395 is: 181,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,204 : 121,395 = 121,395 : x
  2. Step 2: Convert to fraction form
    81,204/121,395 = 121,395/x
  3. Step 3: Cross multiply
    81,204x = 121,395 × 121,395
  4. Step 4: Simplify right side
    81,204x = 14,736,746,025
  5. Step 5: Solve for x
    x = 14,736,746,025/81,204
  6. Step 6: Final answer
    x = 181,478.08

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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.