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Finding the Third Proportional to 80,599.50 and 115,425

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Solution

The third proportional to 80,599.50 and 115,425 is: 165,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,599.50 : 115,425 = 115,425 : x
  2. Step 2: Convert to fraction form
    80,599.50/115,425 = 115,425/x
  3. Step 3: Cross multiply
    80,599.50x = 115,425 × 115,425
  4. Step 4: Simplify right side
    80,599.50x = 13,322,930,625
  5. Step 5: Solve for x
    x = 13,322,930,625/80,599.50
  6. Step 6: Final answer
    x = 165,297.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.