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Finding the Third Proportional to 122,870 and 195,375

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Solution

The third proportional to 122,870 and 195,375 is: 310,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870 : 195,375 = 195,375 : x
  2. Step 2: Convert to fraction form
    122,870/195,375 = 195,375/x
  3. Step 3: Cross multiply
    122,870x = 195,375 × 195,375
  4. Step 4: Simplify right side
    122,870x = 38,171,390,625
  5. Step 5: Solve for x
    x = 38,171,390,625/122,870
  6. Step 6: Final answer
    x = 310,664.85

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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.