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Finding the Third Proportional to 103,640.77 and 219,736.55

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Solution

The third proportional to 103,640.77 and 219,736.55 is: 465,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.77 : 219,736.55 = 219,736.55 : x
  2. Step 2: Convert to fraction form
    103,640.77/219,736.55 = 219,736.55/x
  3. Step 3: Cross multiply
    103,640.77x = 219,736.55 × 219,736.55
  4. Step 4: Simplify right side
    103,640.77x = 48,284,150,032.55
  5. Step 5: Solve for x
    x = 48,284,150,032.55/103,640.77
  6. Step 6: Final answer
    x = 465,879.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.