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Finding the Third Proportional to 76,110.38 and 122,296.13

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Solution

The third proportional to 76,110.38 and 122,296.13 is: 196,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110.38 : 122,296.13 = 122,296.13 : x
  2. Step 2: Convert to fraction form
    76,110.38/122,296.13 = 122,296.13/x
  3. Step 3: Cross multiply
    76,110.38x = 122,296.13 × 122,296.13
  4. Step 4: Simplify right side
    76,110.38x = 14,956,342,190.02
  5. Step 5: Solve for x
    x = 14,956,342,190.02/76,110.38
  6. Step 6: Final answer
    x = 196,508.59

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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.