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Finding the Third Proportional to 90,939 and 197,433

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Solution

The third proportional to 90,939 and 197,433 is: 428,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,939 : 197,433 = 197,433 : x
  2. Step 2: Convert to fraction form
    90,939/197,433 = 197,433/x
  3. Step 3: Cross multiply
    90,939x = 197,433 × 197,433
  4. Step 4: Simplify right side
    90,939x = 38,979,789,489
  5. Step 5: Solve for x
    x = 38,979,789,489/90,939
  6. Step 6: Final answer
    x = 428,636.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.