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Finding the Third Proportional to 199,208 and 431,624

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Solution

The third proportional to 199,208 and 431,624 is: 935,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,208 : 431,624 = 431,624 : x
  2. Step 2: Convert to fraction form
    199,208/431,624 = 431,624/x
  3. Step 3: Cross multiply
    199,208x = 431,624 × 431,624
  4. Step 4: Simplify right side
    199,208x = 186,299,277,376
  5. Step 5: Solve for x
    x = 186,299,277,376/199,208
  6. Step 6: Final answer
    x = 935,199.78

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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.