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Finding the Third Proportional to 203,957 and 447,281

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Solution

The third proportional to 203,957 and 447,281 is: 980,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,957 : 447,281 = 447,281 : x
  2. Step 2: Convert to fraction form
    203,957/447,281 = 447,281/x
  3. Step 3: Cross multiply
    203,957x = 447,281 × 447,281
  4. Step 4: Simplify right side
    203,957x = 200,060,292,961
  5. Step 5: Solve for x
    x = 200,060,292,961/203,957
  6. Step 6: Final answer
    x = 980,894.47

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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.