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Finding the Third Proportional to 116,721 and 177,390

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Solution

The third proportional to 116,721 and 177,390 is: 269,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,721 : 177,390 = 177,390 : x
  2. Step 2: Convert to fraction form
    116,721/177,390 = 177,390/x
  3. Step 3: Cross multiply
    116,721x = 177,390 × 177,390
  4. Step 4: Simplify right side
    116,721x = 31,467,212,100
  5. Step 5: Solve for x
    x = 31,467,212,100/116,721
  6. Step 6: Final answer
    x = 269,593.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.