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Finding the Third Proportional to 97,638 and 199,884

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Solution

The third proportional to 97,638 and 199,884 is: 409,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638 : 199,884 = 199,884 : x
  2. Step 2: Convert to fraction form
    97,638/199,884 = 199,884/x
  3. Step 3: Cross multiply
    97,638x = 199,884 × 199,884
  4. Step 4: Simplify right side
    97,638x = 39,953,613,456
  5. Step 5: Solve for x
    x = 39,953,613,456/97,638
  6. Step 6: Final answer
    x = 409,201.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.