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Finding the Third Proportional to 120,786 and 177,627

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Solution

The third proportional to 120,786 and 177,627 is: 261,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 177,627 = 177,627 : x
  2. Step 2: Convert to fraction form
    120,786/177,627 = 177,627/x
  3. Step 3: Cross multiply
    120,786x = 177,627 × 177,627
  4. Step 4: Simplify right side
    120,786x = 31,551,351,129
  5. Step 5: Solve for x
    x = 31,551,351,129/120,786
  6. Step 6: Final answer
    x = 261,216.96

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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.