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Finding the Third Proportional to 143,809 and 217,725

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Solution

The third proportional to 143,809 and 217,725 is: 329,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,809 : 217,725 = 217,725 : x
  2. Step 2: Convert to fraction form
    143,809/217,725 = 217,725/x
  3. Step 3: Cross multiply
    143,809x = 217,725 × 217,725
  4. Step 4: Simplify right side
    143,809x = 47,404,175,625
  5. Step 5: Solve for x
    x = 47,404,175,625/143,809
  6. Step 6: Final answer
    x = 329,632.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.