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Finding the Third Proportional to 192,223.13 and 449,114.63

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Solution

The third proportional to 192,223.13 and 449,114.63 is: 1,049,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,223.13 : 449,114.63 = 449,114.63 : x
  2. Step 2: Convert to fraction form
    192,223.13/449,114.63 = 449,114.63/x
  3. Step 3: Cross multiply
    192,223.13x = 449,114.63 × 449,114.63
  4. Step 4: Simplify right side
    192,223.13x = 201,703,946,388.89
  5. Step 5: Solve for x
    x = 201,703,946,388.89/192,223.13
  6. Step 6: Final answer
    x = 1,049,321.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.