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Finding the Third Proportional to 86,112 and 189,264

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Solution

The third proportional to 86,112 and 189,264 is: 415,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,112 : 189,264 = 189,264 : x
  2. Step 2: Convert to fraction form
    86,112/189,264 = 189,264/x
  3. Step 3: Cross multiply
    86,112x = 189,264 × 189,264
  4. Step 4: Simplify right side
    86,112x = 35,820,861,696
  5. Step 5: Solve for x
    x = 35,820,861,696/86,112
  6. Step 6: Final answer
    x = 415,979.91

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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.