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Finding the Third Proportional to 50,702.41 and 78,819.12

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Solution

The third proportional to 50,702.41 and 78,819.12 is: 122,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.41 : 78,819.12 = 78,819.12 : x
  2. Step 2: Convert to fraction form
    50,702.41/78,819.12 = 78,819.12/x
  3. Step 3: Cross multiply
    50,702.41x = 78,819.12 × 78,819.12
  4. Step 4: Simplify right side
    50,702.41x = 6,212,453,234.22
  5. Step 5: Solve for x
    x = 6,212,453,234.22/50,702.41
  6. Step 6: Final answer
    x = 122,527.76

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