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Finding the Third Proportional to 205,728 and 448,872

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Solution

The third proportional to 205,728 and 448,872 is: 979,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,728 : 448,872 = 448,872 : x
  2. Step 2: Convert to fraction form
    205,728/448,872 = 448,872/x
  3. Step 3: Cross multiply
    205,728x = 448,872 × 448,872
  4. Step 4: Simplify right side
    205,728x = 201,486,072,384
  5. Step 5: Solve for x
    x = 201,486,072,384/205,728
  6. Step 6: Final answer
    x = 979,380.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.