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Finding the Third Proportional to 121,576 and 195,339

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Solution

The third proportional to 121,576 and 195,339 is: 313,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,576 : 195,339 = 195,339 : x
  2. Step 2: Convert to fraction form
    121,576/195,339 = 195,339/x
  3. Step 3: Cross multiply
    121,576x = 195,339 × 195,339
  4. Step 4: Simplify right side
    121,576x = 38,157,324,921
  5. Step 5: Solve for x
    x = 38,157,324,921/121,576
  6. Step 6: Final answer
    x = 313,855.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.