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Finding the Third Proportional to 85,815 and 189,081

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Solution

The third proportional to 85,815 and 189,081 is: 416,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,815 : 189,081 = 189,081 : x
  2. Step 2: Convert to fraction form
    85,815/189,081 = 189,081/x
  3. Step 3: Cross multiply
    85,815x = 189,081 × 189,081
  4. Step 4: Simplify right side
    85,815x = 35,751,624,561
  5. Step 5: Solve for x
    x = 35,751,624,561/85,815
  6. Step 6: Final answer
    x = 416,612.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.