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Finding the Third Proportional to 122,980 and 195,750

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Solution

The third proportional to 122,980 and 195,750 is: 311,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,980 : 195,750 = 195,750 : x
  2. Step 2: Convert to fraction form
    122,980/195,750 = 195,750/x
  3. Step 3: Cross multiply
    122,980x = 195,750 × 195,750
  4. Step 4: Simplify right side
    122,980x = 38,318,062,500
  5. Step 5: Solve for x
    x = 38,318,062,500/122,980
  6. Step 6: Final answer
    x = 311,579.63

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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.