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Finding the Third Proportional to 52,135.50 and 80,794.50

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Solution

The third proportional to 52,135.50 and 80,794.50 is: 125,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,135.50 : 80,794.50 = 80,794.50 : x
  2. Step 2: Convert to fraction form
    52,135.50/80,794.50 = 80,794.50/x
  3. Step 3: Cross multiply
    52,135.50x = 80,794.50 × 80,794.50
  4. Step 4: Simplify right side
    52,135.50x = 6,527,751,230.25
  5. Step 5: Solve for x
    x = 6,527,751,230.25/52,135.50
  6. Step 6: Final answer
    x = 125,207.42

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Why These Related Problems?

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