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Finding the Third Proportional to 86,384 and 133,266

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Solution

The third proportional to 86,384 and 133,266 is: 205,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,384 : 133,266 = 133,266 : x
  2. Step 2: Convert to fraction form
    86,384/133,266 = 133,266/x
  3. Step 3: Cross multiply
    86,384x = 133,266 × 133,266
  4. Step 4: Simplify right side
    86,384x = 17,759,826,756
  5. Step 5: Solve for x
    x = 17,759,826,756/86,384
  6. Step 6: Final answer
    x = 205,591.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.