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Finding the Third Proportional to 88,224.50 and 192,310

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Solution

The third proportional to 88,224.50 and 192,310 is: 419,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,224.50 : 192,310 = 192,310 : x
  2. Step 2: Convert to fraction form
    88,224.50/192,310 = 192,310/x
  3. Step 3: Cross multiply
    88,224.50x = 192,310 × 192,310
  4. Step 4: Simplify right side
    88,224.50x = 36,983,136,100
  5. Step 5: Solve for x
    x = 36,983,136,100/88,224.50
  6. Step 6: Final answer
    x = 419,193.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.