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Finding the Third Proportional to 87,297.75 and 213,733.69

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Solution

The third proportional to 87,297.75 and 213,733.69 is: 523,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.75 : 213,733.69 = 213,733.69 : x
  2. Step 2: Convert to fraction form
    87,297.75/213,733.69 = 213,733.69/x
  3. Step 3: Cross multiply
    87,297.75x = 213,733.69 × 213,733.69
  4. Step 4: Simplify right side
    87,297.75x = 45,682,089,172.35
  5. Step 5: Solve for x
    x = 45,682,089,172.35/87,297.75
  6. Step 6: Final answer
    x = 523,290.57

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.