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Finding the Third Proportional to 204,640 and 447,200

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Solution

The third proportional to 204,640 and 447,200 is: 977,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,640 : 447,200 = 447,200 : x
  2. Step 2: Convert to fraction form
    204,640/447,200 = 447,200/x
  3. Step 3: Cross multiply
    204,640x = 447,200 × 447,200
  4. Step 4: Simplify right side
    204,640x = 199,987,840,000
  5. Step 5: Solve for x
    x = 199,987,840,000/204,640
  6. Step 6: Final answer
    x = 977,266.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.