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Finding the Third Proportional to 40,212.75 and 52,879.50

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Solution

The third proportional to 40,212.75 and 52,879.50 is: 69,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,212.75 : 52,879.50 = 52,879.50 : x
  2. Step 2: Convert to fraction form
    40,212.75/52,879.50 = 52,879.50/x
  3. Step 3: Cross multiply
    40,212.75x = 52,879.50 × 52,879.50
  4. Step 4: Simplify right side
    40,212.75x = 2,796,241,520.25
  5. Step 5: Solve for x
    x = 2,796,241,520.25/40,212.75
  6. Step 6: Final answer
    x = 69,536.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.