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Finding the Third Proportional to 100,944.25 and 221,789.25

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Solution

The third proportional to 100,944.25 and 221,789.25 is: 487,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944.25 : 221,789.25 = 221,789.25 : x
  2. Step 2: Convert to fraction form
    100,944.25/221,789.25 = 221,789.25/x
  3. Step 3: Cross multiply
    100,944.25x = 221,789.25 × 221,789.25
  4. Step 4: Simplify right side
    100,944.25x = 49,190,471,415.56
  5. Step 5: Solve for x
    x = 49,190,471,415.56/100,944.25
  6. Step 6: Final answer
    x = 487,303.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.