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Finding the Third Proportional to 120,785 and 177,625

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Solution

The third proportional to 120,785 and 177,625 is: 261,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,785 : 177,625 = 177,625 : x
  2. Step 2: Convert to fraction form
    120,785/177,625 = 177,625/x
  3. Step 3: Cross multiply
    120,785x = 177,625 × 177,625
  4. Step 4: Simplify right side
    120,785x = 31,550,640,625
  5. Step 5: Solve for x
    x = 31,550,640,625/120,785
  6. Step 6: Final answer
    x = 261,213.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.