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Finding the Third Proportional to 143,704 and 217,544

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Solution

The third proportional to 143,704 and 217,544 is: 329,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,704 : 217,544 = 217,544 : x
  2. Step 2: Convert to fraction form
    143,704/217,544 = 217,544/x
  3. Step 3: Cross multiply
    143,704x = 217,544 × 217,544
  4. Step 4: Simplify right side
    143,704x = 47,325,391,936
  5. Step 5: Solve for x
    x = 47,325,391,936/143,704
  6. Step 6: Final answer
    x = 329,325.50

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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.