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Finding the Third Proportional to 120,976 and 177,240

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Solution

The third proportional to 120,976 and 177,240 is: 259,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,976 : 177,240 = 177,240 : x
  2. Step 2: Convert to fraction form
    120,976/177,240 = 177,240/x
  3. Step 3: Cross multiply
    120,976x = 177,240 × 177,240
  4. Step 4: Simplify right side
    120,976x = 31,414,017,600
  5. Step 5: Solve for x
    x = 31,414,017,600/120,976
  6. Step 6: Final answer
    x = 259,671.49

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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.