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Finding the Third Proportional to 199,626 and 299,439

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Solution

The third proportional to 199,626 and 299,439 is: 449,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,626 : 299,439 = 299,439 : x
  2. Step 2: Convert to fraction form
    199,626/299,439 = 299,439/x
  3. Step 3: Cross multiply
    199,626x = 299,439 × 299,439
  4. Step 4: Simplify right side
    199,626x = 89,663,714,721
  5. Step 5: Solve for x
    x = 89,663,714,721/199,626
  6. Step 6: Final answer
    x = 449,158.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.