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Finding the Third Proportional to 86,072.75 and 186,439

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Solution

The third proportional to 86,072.75 and 186,439 is: 403,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,072.75 : 186,439 = 186,439 : x
  2. Step 2: Convert to fraction form
    86,072.75/186,439 = 186,439/x
  3. Step 3: Cross multiply
    86,072.75x = 186,439 × 186,439
  4. Step 4: Simplify right side
    86,072.75x = 34,759,500,721
  5. Step 5: Solve for x
    x = 34,759,500,721/86,072.75
  6. Step 6: Final answer
    x = 403,838.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.