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Finding the Third Proportional to 200,184.75 and 440,476.31

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Solution

The third proportional to 200,184.75 and 440,476.31 is: 969,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,184.75 : 440,476.31 = 440,476.31 : x
  2. Step 2: Convert to fraction form
    200,184.75/440,476.31 = 440,476.31/x
  3. Step 3: Cross multiply
    200,184.75x = 440,476.31 × 440,476.31
  4. Step 4: Simplify right side
    200,184.75x = 194,019,381,873.60
  5. Step 5: Solve for x
    x = 194,019,381,873.60/200,184.75
  6. Step 6: Final answer
    x = 969,201.61

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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.