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Finding the Third Proportional to 199,269 and 431,100

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Solution

The third proportional to 199,269 and 431,100 is: 932,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,269 : 431,100 = 431,100 : x
  2. Step 2: Convert to fraction form
    199,269/431,100 = 431,100/x
  3. Step 3: Cross multiply
    199,269x = 431,100 × 431,100
  4. Step 4: Simplify right side
    199,269x = 185,847,210,000
  5. Step 5: Solve for x
    x = 185,847,210,000/199,269
  6. Step 6: Final answer
    x = 932,644.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.