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Finding the Third Proportional to 122,108.50 and 189,815

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Solution

The third proportional to 122,108.50 and 189,815 is: 295,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,108.50 : 189,815 = 189,815 : x
  2. Step 2: Convert to fraction form
    122,108.50/189,815 = 189,815/x
  3. Step 3: Cross multiply
    122,108.50x = 189,815 × 189,815
  4. Step 4: Simplify right side
    122,108.50x = 36,029,734,225
  5. Step 5: Solve for x
    x = 36,029,734,225/122,108.50
  6. Step 6: Final answer
    x = 295,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.