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Finding the Third Proportional to 86,206 and 133,144

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Solution

The third proportional to 86,206 and 133,144 is: 205,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,206 : 133,144 = 133,144 : x
  2. Step 2: Convert to fraction form
    86,206/133,144 = 133,144/x
  3. Step 3: Cross multiply
    86,206x = 133,144 × 133,144
  4. Step 4: Simplify right side
    86,206x = 17,727,324,736
  5. Step 5: Solve for x
    x = 17,727,324,736/86,206
  6. Step 6: Final answer
    x = 205,639.11

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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.