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Finding the Third Proportional to 86,208 and 121,680

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Solution

The third proportional to 86,208 and 121,680 is: 171,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208 : 121,680 = 121,680 : x
  2. Step 2: Convert to fraction form
    86,208/121,680 = 121,680/x
  3. Step 3: Cross multiply
    86,208x = 121,680 × 121,680
  4. Step 4: Simplify right side
    86,208x = 14,806,022,400
  5. Step 5: Solve for x
    x = 14,806,022,400/86,208
  6. Step 6: Final answer
    x = 171,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.