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Finding the Third Proportional to 203,564 and 448,456

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Solution

The third proportional to 203,564 and 448,456 is: 987,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,564 : 448,456 = 448,456 : x
  2. Step 2: Convert to fraction form
    203,564/448,456 = 448,456/x
  3. Step 3: Cross multiply
    203,564x = 448,456 × 448,456
  4. Step 4: Simplify right side
    203,564x = 201,112,783,936
  5. Step 5: Solve for x
    x = 201,112,783,936/203,564
  6. Step 6: Final answer
    x = 987,958.50

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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.