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Finding the Third Proportional to 77,806.50 and 120,165

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Solution

The third proportional to 77,806.50 and 120,165 is: 185,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.50 : 120,165 = 120,165 : x
  2. Step 2: Convert to fraction form
    77,806.50/120,165 = 120,165/x
  3. Step 3: Cross multiply
    77,806.50x = 120,165 × 120,165
  4. Step 4: Simplify right side
    77,806.50x = 14,439,627,225
  5. Step 5: Solve for x
    x = 14,439,627,225/77,806.50
  6. Step 6: Final answer
    x = 185,583.82

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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.