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Finding the Third Proportional to 97,637 and 197,990

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Solution

The third proportional to 97,637 and 197,990 is: 401,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,637 : 197,990 = 197,990 : x
  2. Step 2: Convert to fraction form
    97,637/197,990 = 197,990/x
  3. Step 3: Cross multiply
    97,637x = 197,990 × 197,990
  4. Step 4: Simplify right side
    97,637x = 39,200,040,100
  5. Step 5: Solve for x
    x = 39,200,040,100/97,637
  6. Step 6: Final answer
    x = 401,487.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.