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Finding the Third Proportional to 143,372.53 and 200,569.92

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Solution

The third proportional to 143,372.53 and 200,569.92 is: 280,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,372.53 : 200,569.92 = 200,569.92 : x
  2. Step 2: Convert to fraction form
    143,372.53/200,569.92 = 200,569.92/x
  3. Step 3: Cross multiply
    143,372.53x = 200,569.92 × 200,569.92
  4. Step 4: Simplify right side
    143,372.53x = 40,228,293,560.94
  5. Step 5: Solve for x
    x = 40,228,293,560.94/143,372.53
  6. Step 6: Final answer
    x = 280,585.78

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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.