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Finding the Third Proportional to 90,600 and 197,656

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Solution

The third proportional to 90,600 and 197,656 is: 431,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,600 : 197,656 = 197,656 : x
  2. Step 2: Convert to fraction form
    90,600/197,656 = 197,656/x
  3. Step 3: Cross multiply
    90,600x = 197,656 × 197,656
  4. Step 4: Simplify right side
    90,600x = 39,067,894,336
  5. Step 5: Solve for x
    x = 39,067,894,336/90,600
  6. Step 6: Final answer
    x = 431,212.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.