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Finding the Third Proportional to 192,577.50 and 281,733.19

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Solution

The third proportional to 192,577.50 and 281,733.19 is: 412,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.50 : 281,733.19 = 281,733.19 : x
  2. Step 2: Convert to fraction form
    192,577.50/281,733.19 = 281,733.19/x
  3. Step 3: Cross multiply
    192,577.50x = 281,733.19 × 281,733.19
  4. Step 4: Simplify right side
    192,577.50x = 79,373,588,938.91
  5. Step 5: Solve for x
    x = 79,373,588,938.91/192,577.50
  6. Step 6: Final answer
    x = 412,164.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.