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Finding the Third Proportional to 81,864 and 131,328

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Solution

The third proportional to 81,864 and 131,328 is: 210,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 131,328 = 131,328 : x
  2. Step 2: Convert to fraction form
    81,864/131,328 = 131,328/x
  3. Step 3: Cross multiply
    81,864x = 131,328 × 131,328
  4. Step 4: Simplify right side
    81,864x = 17,247,043,584
  5. Step 5: Solve for x
    x = 17,247,043,584/81,864
  6. Step 6: Final answer
    x = 210,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.