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Finding the Third Proportional to 203,519 and 299,180

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Solution

The third proportional to 203,519 and 299,180 is: 439,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,519 : 299,180 = 299,180 : x
  2. Step 2: Convert to fraction form
    203,519/299,180 = 299,180/x
  3. Step 3: Cross multiply
    203,519x = 299,180 × 299,180
  4. Step 4: Simplify right side
    203,519x = 89,508,672,400
  5. Step 5: Solve for x
    x = 89,508,672,400/203,519
  6. Step 6: Final answer
    x = 439,804.99

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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.