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Finding the Third Proportional to 143,372 and 214,815

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Solution

The third proportional to 143,372 and 214,815 is: 321,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,372 : 214,815 = 214,815 : x
  2. Step 2: Convert to fraction form
    143,372/214,815 = 214,815/x
  3. Step 3: Cross multiply
    143,372x = 214,815 × 214,815
  4. Step 4: Simplify right side
    143,372x = 46,145,484,225
  5. Step 5: Solve for x
    x = 46,145,484,225/143,372
  6. Step 6: Final answer
    x = 321,858.41

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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.