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Finding the Third Proportional to 76,800 and 122,112

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Solution

The third proportional to 76,800 and 122,112 is: 194,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 122,112 = 122,112 : x
  2. Step 2: Convert to fraction form
    76,800/122,112 = 122,112/x
  3. Step 3: Cross multiply
    76,800x = 122,112 × 122,112
  4. Step 4: Simplify right side
    76,800x = 14,911,340,544
  5. Step 5: Solve for x
    x = 14,911,340,544/76,800
  6. Step 6: Final answer
    x = 194,158.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.