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Finding the Third Proportional to 203,562 and 448,452

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Solution

The third proportional to 203,562 and 448,452 is: 987,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,562 : 448,452 = 448,452 : x
  2. Step 2: Convert to fraction form
    203,562/448,452 = 448,452/x
  3. Step 3: Cross multiply
    203,562x = 448,452 × 448,452
  4. Step 4: Simplify right side
    203,562x = 201,109,196,304
  5. Step 5: Solve for x
    x = 201,109,196,304/203,562
  6. Step 6: Final answer
    x = 987,950.58

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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.