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Finding the Third Proportional to 123,638.91 and 192,840.75

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Solution

The third proportional to 123,638.91 and 192,840.75 is: 300,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,638.91 : 192,840.75 = 192,840.75 : x
  2. Step 2: Convert to fraction form
    123,638.91/192,840.75 = 192,840.75/x
  3. Step 3: Cross multiply
    123,638.91x = 192,840.75 × 192,840.75
  4. Step 4: Simplify right side
    123,638.91x = 37,187,554,860.56
  5. Step 5: Solve for x
    x = 37,187,554,860.56/123,638.91
  6. Step 6: Final answer
    x = 300,775.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.