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Finding the Third Proportional to 203,517 and 299,181

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Solution

The third proportional to 203,517 and 299,181 is: 439,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,517 : 299,181 = 299,181 : x
  2. Step 2: Convert to fraction form
    203,517/299,181 = 299,181/x
  3. Step 3: Cross multiply
    203,517x = 299,181 × 299,181
  4. Step 4: Simplify right side
    203,517x = 89,509,270,761
  5. Step 5: Solve for x
    x = 89,509,270,761/203,517
  6. Step 6: Final answer
    x = 439,812.26

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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.