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Finding the Third Proportional to 143,013 and 214,455

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Solution

The third proportional to 143,013 and 214,455 is: 321,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,013 : 214,455 = 214,455 : x
  2. Step 2: Convert to fraction form
    143,013/214,455 = 214,455/x
  3. Step 3: Cross multiply
    143,013x = 214,455 × 214,455
  4. Step 4: Simplify right side
    143,013x = 45,990,947,025
  5. Step 5: Solve for x
    x = 45,990,947,025/143,013
  6. Step 6: Final answer
    x = 321,585.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.