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Finding the Third Proportional to 143,359 and 200,512

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Solution

The third proportional to 143,359 and 200,512 is: 280,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,359 : 200,512 = 200,512 : x
  2. Step 2: Convert to fraction form
    143,359/200,512 = 200,512/x
  3. Step 3: Cross multiply
    143,359x = 200,512 × 200,512
  4. Step 4: Simplify right side
    143,359x = 40,205,062,144
  5. Step 5: Solve for x
    x = 40,205,062,144/143,359
  6. Step 6: Final answer
    x = 280,450.21

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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.