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Finding the Third Proportional to 203,640 and 447,345

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Solution

The third proportional to 203,640 and 447,345 is: 982,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,640 : 447,345 = 447,345 : x
  2. Step 2: Convert to fraction form
    203,640/447,345 = 447,345/x
  3. Step 3: Cross multiply
    203,640x = 447,345 × 447,345
  4. Step 4: Simplify right side
    203,640x = 200,117,549,025
  5. Step 5: Solve for x
    x = 200,117,549,025/203,640
  6. Step 6: Final answer
    x = 982,702.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.