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Finding the Third Proportional to 203,802 and 299,439

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Solution

The third proportional to 203,802 and 299,439 is: 439,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,802 : 299,439 = 299,439 : x
  2. Step 2: Convert to fraction form
    203,802/299,439 = 299,439/x
  3. Step 3: Cross multiply
    203,802x = 299,439 × 299,439
  4. Step 4: Simplify right side
    203,802x = 89,663,714,721
  5. Step 5: Solve for x
    x = 89,663,714,721/203,802
  6. Step 6: Final answer
    x = 439,955.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.