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Finding the Third Proportional to 115,390 and 177,123

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Solution

The third proportional to 115,390 and 177,123 is: 271,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,390 : 177,123 = 177,123 : x
  2. Step 2: Convert to fraction form
    115,390/177,123 = 177,123/x
  3. Step 3: Cross multiply
    115,390x = 177,123 × 177,123
  4. Step 4: Simplify right side
    115,390x = 31,372,557,129
  5. Step 5: Solve for x
    x = 31,372,557,129/115,390
  6. Step 6: Final answer
    x = 271,882.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.