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Finding the Third Proportional to 133,817.63 and 192,342.88

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Solution

The third proportional to 133,817.63 and 192,342.88 is: 276,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817.63 : 192,342.88 = 192,342.88 : x
  2. Step 2: Convert to fraction form
    133,817.63/192,342.88 = 192,342.88/x
  3. Step 3: Cross multiply
    133,817.63x = 192,342.88 × 192,342.88
  4. Step 4: Simplify right side
    133,817.63x = 36,995,781,563.27
  5. Step 5: Solve for x
    x = 36,995,781,563.27/133,817.63
  6. Step 6: Final answer
    x = 276,464.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.