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Finding the Third Proportional to 76,110.75 and 122,296.50

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Solution

The third proportional to 76,110.75 and 122,296.50 is: 196,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110.75 : 122,296.50 = 122,296.50 : x
  2. Step 2: Convert to fraction form
    76,110.75/122,296.50 = 122,296.50/x
  3. Step 3: Cross multiply
    76,110.75x = 122,296.50 × 122,296.50
  4. Step 4: Simplify right side
    76,110.75x = 14,956,433,912.25
  5. Step 5: Solve for x
    x = 14,956,433,912.25/76,110.75
  6. Step 6: Final answer
    x = 196,508.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.