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Finding the Third Proportional to 121,754 and 178,419

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Solution

The third proportional to 121,754 and 178,419 is: 261,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,754 : 178,419 = 178,419 : x
  2. Step 2: Convert to fraction form
    121,754/178,419 = 178,419/x
  3. Step 3: Cross multiply
    121,754x = 178,419 × 178,419
  4. Step 4: Simplify right side
    121,754x = 31,833,339,561
  5. Step 5: Solve for x
    x = 31,833,339,561/121,754
  6. Step 6: Final answer
    x = 261,456.21

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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.