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Finding the Third Proportional to 199,206 and 431,600

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Solution

The third proportional to 199,206 and 431,600 is: 935,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,206 : 431,600 = 431,600 : x
  2. Step 2: Convert to fraction form
    199,206/431,600 = 431,600/x
  3. Step 3: Cross multiply
    199,206x = 431,600 × 431,600
  4. Step 4: Simplify right side
    199,206x = 186,278,560,000
  5. Step 5: Solve for x
    x = 186,278,560,000/199,206
  6. Step 6: Final answer
    x = 935,105.17

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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.