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Finding the Third Proportional to 220,864.75 and 485,119

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Solution

The third proportional to 220,864.75 and 485,119 is: 1,065,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,864.75 : 485,119 = 485,119 : x
  2. Step 2: Convert to fraction form
    220,864.75/485,119 = 485,119/x
  3. Step 3: Cross multiply
    220,864.75x = 485,119 × 485,119
  4. Step 4: Simplify right side
    220,864.75x = 235,340,444,161
  5. Step 5: Solve for x
    x = 235,340,444,161/220,864.75
  6. Step 6: Final answer
    x = 1,065,540.99

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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.