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Finding the Third Proportional to 143,357 and 200,509

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Solution

The third proportional to 143,357 and 200,509 is: 280,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,357 : 200,509 = 200,509 : x
  2. Step 2: Convert to fraction form
    143,357/200,509 = 200,509/x
  3. Step 3: Cross multiply
    143,357x = 200,509 × 200,509
  4. Step 4: Simplify right side
    143,357x = 40,203,859,081
  5. Step 5: Solve for x
    x = 40,203,859,081/143,357
  6. Step 6: Final answer
    x = 280,445.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.