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Finding the Third Proportional to 124,538 and 177,930

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Solution

The third proportional to 124,538 and 177,930 is: 254,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,538 : 177,930 = 177,930 : x
  2. Step 2: Convert to fraction form
    124,538/177,930 = 177,930/x
  3. Step 3: Cross multiply
    124,538x = 177,930 × 177,930
  4. Step 4: Simplify right side
    124,538x = 31,659,084,900
  5. Step 5: Solve for x
    x = 31,659,084,900/124,538
  6. Step 6: Final answer
    x = 254,212.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.