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Finding the Third Proportional to 86,544 and 133,856

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Solution

The third proportional to 86,544 and 133,856 is: 207,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 133,856 = 133,856 : x
  2. Step 2: Convert to fraction form
    86,544/133,856 = 133,856/x
  3. Step 3: Cross multiply
    86,544x = 133,856 × 133,856
  4. Step 4: Simplify right side
    86,544x = 17,917,428,736
  5. Step 5: Solve for x
    x = 17,917,428,736/86,544
  6. Step 6: Final answer
    x = 207,032.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.