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Finding the Third Proportional to 77,920 and 115,680

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Solution

The third proportional to 77,920 and 115,680 is: 171,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920 : 115,680 = 115,680 : x
  2. Step 2: Convert to fraction form
    77,920/115,680 = 115,680/x
  3. Step 3: Cross multiply
    77,920x = 115,680 × 115,680
  4. Step 4: Simplify right side
    77,920x = 13,381,862,400
  5. Step 5: Solve for x
    x = 13,381,862,400/77,920
  6. Step 6: Final answer
    x = 171,738.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.