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Finding the Third Proportional to 143,376 and 200,583

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Solution

The third proportional to 143,376 and 200,583 is: 280,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,376 : 200,583 = 200,583 : x
  2. Step 2: Convert to fraction form
    143,376/200,583 = 200,583/x
  3. Step 3: Cross multiply
    143,376x = 200,583 × 200,583
  4. Step 4: Simplify right side
    143,376x = 40,233,539,889
  5. Step 5: Solve for x
    x = 40,233,539,889/143,376
  6. Step 6: Final answer
    x = 280,615.58

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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.