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Finding the Third Proportional to 86,139 and 189,252

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Solution

The third proportional to 86,139 and 189,252 is: 415,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,139 : 189,252 = 189,252 : x
  2. Step 2: Convert to fraction form
    86,139/189,252 = 189,252/x
  3. Step 3: Cross multiply
    86,139x = 189,252 × 189,252
  4. Step 4: Simplify right side
    86,139x = 35,816,319,504
  5. Step 5: Solve for x
    x = 35,816,319,504/86,139
  6. Step 6: Final answer
    x = 415,796.79

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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.