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Finding the Third Proportional to 203,634 and 447,415

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Solution

The third proportional to 203,634 and 447,415 is: 983,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,634 : 447,415 = 447,415 : x
  2. Step 2: Convert to fraction form
    203,634/447,415 = 447,415/x
  3. Step 3: Cross multiply
    203,634x = 447,415 × 447,415
  4. Step 4: Simplify right side
    203,634x = 200,180,182,225
  5. Step 5: Solve for x
    x = 200,180,182,225/203,634
  6. Step 6: Final answer
    x = 983,039.09

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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.