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Finding the Third Proportional to 77,852 and 120,794

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Solution

The third proportional to 77,852 and 120,794 is: 187,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852 : 120,794 = 120,794 : x
  2. Step 2: Convert to fraction form
    77,852/120,794 = 120,794/x
  3. Step 3: Cross multiply
    77,852x = 120,794 × 120,794
  4. Step 4: Simplify right side
    77,852x = 14,591,190,436
  5. Step 5: Solve for x
    x = 14,591,190,436/77,852
  6. Step 6: Final answer
    x = 187,422.17

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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.