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Finding the Third Proportional to 76,728 and 122,142

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Solution

The third proportional to 76,728 and 122,142 is: 194,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728 : 122,142 = 122,142 : x
  2. Step 2: Convert to fraction form
    76,728/122,142 = 122,142/x
  3. Step 3: Cross multiply
    76,728x = 122,142 × 122,142
  4. Step 4: Simplify right side
    76,728x = 14,918,668,164
  5. Step 5: Solve for x
    x = 14,918,668,164/76,728
  6. Step 6: Final answer
    x = 194,435.78

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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.