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Finding the Third Proportional to 204,600 and 444,613.50

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Solution

The third proportional to 204,600 and 444,613.50 is: 966,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600 : 444,613.50 = 444,613.50 : x
  2. Step 2: Convert to fraction form
    204,600/444,613.50 = 444,613.50/x
  3. Step 3: Cross multiply
    204,600x = 444,613.50 × 444,613.50
  4. Step 4: Simplify right side
    204,600x = 197,681,164,382.25
  5. Step 5: Solve for x
    x = 197,681,164,382.25/204,600
  6. Step 6: Final answer
    x = 966,183.60

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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.