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Finding the Third Proportional to 78,930.75 and 120,745.13

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Solution

The third proportional to 78,930.75 and 120,745.13 is: 184,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930.75 : 120,745.13 = 120,745.13 : x
  2. Step 2: Convert to fraction form
    78,930.75/120,745.13 = 120,745.13/x
  3. Step 3: Cross multiply
    78,930.75x = 120,745.13 × 120,745.13
  4. Step 4: Simplify right side
    78,930.75x = 14,579,385,211.27
  5. Step 5: Solve for x
    x = 14,579,385,211.27/78,930.75
  6. Step 6: Final answer
    x = 184,711.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.