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Finding the Third Proportional to 77,782 and 120,665

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Solution

The third proportional to 77,782 and 120,665 is: 187,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782 : 120,665 = 120,665 : x
  2. Step 2: Convert to fraction form
    77,782/120,665 = 120,665/x
  3. Step 3: Cross multiply
    77,782x = 120,665 × 120,665
  4. Step 4: Simplify right side
    77,782x = 14,560,042,225
  5. Step 5: Solve for x
    x = 14,560,042,225/77,782
  6. Step 6: Final answer
    x = 187,190.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.