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Finding the Third Proportional to 122,134.50 and 193,860

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Solution

The third proportional to 122,134.50 and 193,860 is: 307,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,134.50 : 193,860 = 193,860 : x
  2. Step 2: Convert to fraction form
    122,134.50/193,860 = 193,860/x
  3. Step 3: Cross multiply
    122,134.50x = 193,860 × 193,860
  4. Step 4: Simplify right side
    122,134.50x = 37,581,699,600
  5. Step 5: Solve for x
    x = 37,581,699,600/122,134.50
  6. Step 6: Final answer
    x = 307,707.48

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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.