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Finding the Third Proportional to 86,485 and 189,996

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Solution

The third proportional to 86,485 and 189,996 is: 417,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,485 : 189,996 = 189,996 : x
  2. Step 2: Convert to fraction form
    86,485/189,996 = 189,996/x
  3. Step 3: Cross multiply
    86,485x = 189,996 × 189,996
  4. Step 4: Simplify right side
    86,485x = 36,098,480,016
  5. Step 5: Solve for x
    x = 36,098,480,016/86,485
  6. Step 6: Final answer
    x = 417,395.85

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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.