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Finding the Third Proportional to 81,087 and 121,305

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Solution

The third proportional to 81,087 and 121,305 is: 181,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,087 : 121,305 = 121,305 : x
  2. Step 2: Convert to fraction form
    81,087/121,305 = 121,305/x
  3. Step 3: Cross multiply
    81,087x = 121,305 × 121,305
  4. Step 4: Simplify right side
    81,087x = 14,714,903,025
  5. Step 5: Solve for x
    x = 14,714,903,025/81,087
  6. Step 6: Final answer
    x = 181,470.56

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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.