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Finding the Third Proportional to 76,879.13 and 117,520.88

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Solution

The third proportional to 76,879.13 and 117,520.88 is: 179,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.13 : 117,520.88 = 117,520.88 : x
  2. Step 2: Convert to fraction form
    76,879.13/117,520.88 = 117,520.88/x
  3. Step 3: Cross multiply
    76,879.13x = 117,520.88 × 117,520.88
  4. Step 4: Simplify right side
    76,879.13x = 13,811,156,060.77
  5. Step 5: Solve for x
    x = 13,811,156,060.77/76,879.13
  6. Step 6: Final answer
    x = 179,647.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.