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Finding the Third Proportional to 55,640.25 and 120,190.50

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Solution

The third proportional to 55,640.25 and 120,190.50 is: 259,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640.25 : 120,190.50 = 120,190.50 : x
  2. Step 2: Convert to fraction form
    55,640.25/120,190.50 = 120,190.50/x
  3. Step 3: Cross multiply
    55,640.25x = 120,190.50 × 120,190.50
  4. Step 4: Simplify right side
    55,640.25x = 14,445,756,290.25
  5. Step 5: Solve for x
    x = 14,445,756,290.25/55,640.25
  6. Step 6: Final answer
    x = 259,627.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.