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Finding the Third Proportional to 203,658 and 447,164

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Solution

The third proportional to 203,658 and 447,164 is: 981,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,658 : 447,164 = 447,164 : x
  2. Step 2: Convert to fraction form
    203,658/447,164 = 447,164/x
  3. Step 3: Cross multiply
    203,658x = 447,164 × 447,164
  4. Step 4: Simplify right side
    203,658x = 199,955,642,896
  5. Step 5: Solve for x
    x = 199,955,642,896/203,658
  6. Step 6: Final answer
    x = 981,820.71

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Why These Related Problems?

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