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Finding the Third Proportional to 121,648 and 193,713

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Solution

The third proportional to 121,648 and 193,713 is: 308,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648 : 193,713 = 193,713 : x
  2. Step 2: Convert to fraction form
    121,648/193,713 = 193,713/x
  3. Step 3: Cross multiply
    121,648x = 193,713 × 193,713
  4. Step 4: Simplify right side
    121,648x = 37,524,726,369
  5. Step 5: Solve for x
    x = 37,524,726,369/121,648
  6. Step 6: Final answer
    x = 308,469.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.