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Finding the Third Proportional to 86,028 and 189,189

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Solution

The third proportional to 86,028 and 189,189 is: 416,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028 : 189,189 = 189,189 : x
  2. Step 2: Convert to fraction form
    86,028/189,189 = 189,189/x
  3. Step 3: Cross multiply
    86,028x = 189,189 × 189,189
  4. Step 4: Simplify right side
    86,028x = 35,792,477,721
  5. Step 5: Solve for x
    x = 35,792,477,721/86,028
  6. Step 6: Final answer
    x = 416,056.14

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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.