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Finding the Third Proportional to 123,042.75 and 192,765.75

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Solution

The third proportional to 123,042.75 and 192,765.75 is: 301,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,042.75 : 192,765.75 = 192,765.75 : x
  2. Step 2: Convert to fraction form
    123,042.75/192,765.75 = 192,765.75/x
  3. Step 3: Cross multiply
    123,042.75x = 192,765.75 × 192,765.75
  4. Step 4: Simplify right side
    123,042.75x = 37,158,634,373.06
  5. Step 5: Solve for x
    x = 37,158,634,373.06/123,042.75
  6. Step 6: Final answer
    x = 301,997.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.