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Finding the Third Proportional to 121,338 and 177,390

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Solution

The third proportional to 121,338 and 177,390 is: 259,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,338 : 177,390 = 177,390 : x
  2. Step 2: Convert to fraction form
    121,338/177,390 = 177,390/x
  3. Step 3: Cross multiply
    121,338x = 177,390 × 177,390
  4. Step 4: Simplify right side
    121,338x = 31,467,212,100
  5. Step 5: Solve for x
    x = 31,467,212,100/121,338
  6. Step 6: Final answer
    x = 259,335.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.