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Finding the Third Proportional to 220,879.50 and 480,865.50

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Solution

The third proportional to 220,879.50 and 480,865.50 is: 1,046,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,879.50 : 480,865.50 = 480,865.50 : x
  2. Step 2: Convert to fraction form
    220,879.50/480,865.50 = 480,865.50/x
  3. Step 3: Cross multiply
    220,879.50x = 480,865.50 × 480,865.50
  4. Step 4: Simplify right side
    220,879.50x = 231,231,629,090.25
  5. Step 5: Solve for x
    x = 231,231,629,090.25/220,879.50
  6. Step 6: Final answer
    x = 1,046,867.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.