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Finding the Third Proportional to 203,560 and 448,448

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Solution

The third proportional to 203,560 and 448,448 is: 987,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,560 : 448,448 = 448,448 : x
  2. Step 2: Convert to fraction form
    203,560/448,448 = 448,448/x
  3. Step 3: Cross multiply
    203,560x = 448,448 × 448,448
  4. Step 4: Simplify right side
    203,560x = 201,105,608,704
  5. Step 5: Solve for x
    x = 201,105,608,704/203,560
  6. Step 6: Final answer
    x = 987,942.66

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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.