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Finding the Third Proportional to 203,985 and 448,353

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Solution

The third proportional to 203,985 and 448,353 is: 985,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,985 : 448,353 = 448,353 : x
  2. Step 2: Convert to fraction form
    203,985/448,353 = 448,353/x
  3. Step 3: Cross multiply
    203,985x = 448,353 × 448,353
  4. Step 4: Simplify right side
    203,985x = 201,020,412,609
  5. Step 5: Solve for x
    x = 201,020,412,609/203,985
  6. Step 6: Final answer
    x = 985,466.64

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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.