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Finding the Third Proportional to 143,838 and 214,933

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Solution

The third proportional to 143,838 and 214,933 is: 321,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838 : 214,933 = 214,933 : x
  2. Step 2: Convert to fraction form
    143,838/214,933 = 214,933/x
  3. Step 3: Cross multiply
    143,838x = 214,933 × 214,933
  4. Step 4: Simplify right side
    143,838x = 46,196,194,489
  5. Step 5: Solve for x
    x = 46,196,194,489/143,838
  6. Step 6: Final answer
    x = 321,168.22

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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.