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Finding the Third Proportional to 143,822 and 214,912

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Solution

The third proportional to 143,822 and 214,912 is: 321,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,822 : 214,912 = 214,912 : x
  2. Step 2: Convert to fraction form
    143,822/214,912 = 214,912/x
  3. Step 3: Cross multiply
    143,822x = 214,912 × 214,912
  4. Step 4: Simplify right side
    143,822x = 46,187,167,744
  5. Step 5: Solve for x
    x = 46,187,167,744/143,822
  6. Step 6: Final answer
    x = 321,141.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.