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Finding the Third Proportional to 120,408.75 and 185,142.38

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Solution

The third proportional to 120,408.75 and 185,142.38 is: 284,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.75 : 185,142.38 = 185,142.38 : x
  2. Step 2: Convert to fraction form
    120,408.75/185,142.38 = 185,142.38/x
  3. Step 3: Cross multiply
    120,408.75x = 185,142.38 × 185,142.38
  4. Step 4: Simplify right side
    120,408.75x = 34,277,699,020.64
  5. Step 5: Solve for x
    x = 34,277,699,020.64/120,408.75
  6. Step 6: Final answer
    x = 284,677.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.