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Finding the Third Proportional to 122,900 and 195,420

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Solution

The third proportional to 122,900 and 195,420 is: 310,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,900 : 195,420 = 195,420 : x
  2. Step 2: Convert to fraction form
    122,900/195,420 = 195,420/x
  3. Step 3: Cross multiply
    122,900x = 195,420 × 195,420
  4. Step 4: Simplify right side
    122,900x = 38,188,976,400
  5. Step 5: Solve for x
    x = 38,188,976,400/122,900
  6. Step 6: Final answer
    x = 310,732.11

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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.