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Finding the Third Proportional to 221,009.75 and 479,441.50

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Solution

The third proportional to 221,009.75 and 479,441.50 is: 1,040,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,009.75 : 479,441.50 = 479,441.50 : x
  2. Step 2: Convert to fraction form
    221,009.75/479,441.50 = 479,441.50/x
  3. Step 3: Cross multiply
    221,009.75x = 479,441.50 × 479,441.50
  4. Step 4: Simplify right side
    221,009.75x = 229,864,151,922.25
  5. Step 5: Solve for x
    x = 229,864,151,922.25/221,009.75
  6. Step 6: Final answer
    x = 1,040,063.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.