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Finding the Third Proportional to 76,978 and 115,467

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Solution

The third proportional to 76,978 and 115,467 is: 173,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,978 : 115,467 = 115,467 : x
  2. Step 2: Convert to fraction form
    76,978/115,467 = 115,467/x
  3. Step 3: Cross multiply
    76,978x = 115,467 × 115,467
  4. Step 4: Simplify right side
    76,978x = 13,332,628,089
  5. Step 5: Solve for x
    x = 13,332,628,089/76,978
  6. Step 6: Final answer
    x = 173,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.