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Finding the Third Proportional to 76,938 and 120,267

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Solution

The third proportional to 76,938 and 120,267 is: 187,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938 : 120,267 = 120,267 : x
  2. Step 2: Convert to fraction form
    76,938/120,267 = 120,267/x
  3. Step 3: Cross multiply
    76,938x = 120,267 × 120,267
  4. Step 4: Simplify right side
    76,938x = 14,464,151,289
  5. Step 5: Solve for x
    x = 14,464,151,289/76,938
  6. Step 6: Final answer
    x = 187,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.