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Finding the Third Proportional to 203,718 and 448,044

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Solution

The third proportional to 203,718 and 448,044 is: 985,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,718 : 448,044 = 448,044 : x
  2. Step 2: Convert to fraction form
    203,718/448,044 = 448,044/x
  3. Step 3: Cross multiply
    203,718x = 448,044 × 448,044
  4. Step 4: Simplify right side
    203,718x = 200,743,425,936
  5. Step 5: Solve for x
    x = 200,743,425,936/203,718
  6. Step 6: Final answer
    x = 985,398.57

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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.