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Finding the Third Proportional to 121,567 and 195,325

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Solution

The third proportional to 121,567 and 195,325 is: 313,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567 : 195,325 = 195,325 : x
  2. Step 2: Convert to fraction form
    121,567/195,325 = 195,325/x
  3. Step 3: Cross multiply
    121,567x = 195,325 × 195,325
  4. Step 4: Simplify right side
    121,567x = 38,151,855,625
  5. Step 5: Solve for x
    x = 38,151,855,625/121,567
  6. Step 6: Final answer
    x = 313,833.98

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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.