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Finding the Third Proportional to 204,296.55 and 474,747.01

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Solution

The third proportional to 204,296.55 and 474,747.01 is: 1,103,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,296.55 : 474,747.01 = 474,747.01 : x
  2. Step 2: Convert to fraction form
    204,296.55/474,747.01 = 474,747.01/x
  3. Step 3: Cross multiply
    204,296.55x = 474,747.01 × 474,747.01
  4. Step 4: Simplify right side
    204,296.55x = 225,384,725,135.88
  5. Step 5: Solve for x
    x = 225,384,725,135.88/204,296.55
  6. Step 6: Final answer
    x = 1,103,223.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.