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Finding the Third Proportional to 88,732.50 and 192,219

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Solution

The third proportional to 88,732.50 and 192,219 is: 416,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,732.50 : 192,219 = 192,219 : x
  2. Step 2: Convert to fraction form
    88,732.50/192,219 = 192,219/x
  3. Step 3: Cross multiply
    88,732.50x = 192,219 × 192,219
  4. Step 4: Simplify right side
    88,732.50x = 36,948,143,961
  5. Step 5: Solve for x
    x = 36,948,143,961/88,732.50
  6. Step 6: Final answer
    x = 416,399.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.