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Finding the Third Proportional to 204,251 and 299,509

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Solution

The third proportional to 204,251 and 299,509 is: 439,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,251 : 299,509 = 299,509 : x
  2. Step 2: Convert to fraction form
    204,251/299,509 = 299,509/x
  3. Step 3: Cross multiply
    204,251x = 299,509 × 299,509
  4. Step 4: Simplify right side
    204,251x = 89,705,641,081
  5. Step 5: Solve for x
    x = 89,705,641,081/204,251
  6. Step 6: Final answer
    x = 439,193.15

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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.