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Finding the Third Proportional to 52,288.50 and 80,794.50

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Solution

The third proportional to 52,288.50 and 80,794.50 is: 124,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288.50 : 80,794.50 = 80,794.50 : x
  2. Step 2: Convert to fraction form
    52,288.50/80,794.50 = 80,794.50/x
  3. Step 3: Cross multiply
    52,288.50x = 80,794.50 × 80,794.50
  4. Step 4: Simplify right side
    52,288.50x = 6,527,751,230.25
  5. Step 5: Solve for x
    x = 6,527,751,230.25/52,288.50
  6. Step 6: Final answer
    x = 124,841.05

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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.