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Finding the Third Proportional to 214,404 and 323,790

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Solution

The third proportional to 214,404 and 323,790 is: 488,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404 : 323,790 = 323,790 : x
  2. Step 2: Convert to fraction form
    214,404/323,790 = 323,790/x
  3. Step 3: Cross multiply
    214,404x = 323,790 × 323,790
  4. Step 4: Simplify right side
    214,404x = 104,839,964,100
  5. Step 5: Solve for x
    x = 104,839,964,100/214,404
  6. Step 6: Final answer
    x = 488,983.25

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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.