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Finding the Third Proportional to 143,311.78 and 214,943.63

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Solution

The third proportional to 143,311.78 and 214,943.63 is: 322,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,311.78 : 214,943.63 = 214,943.63 : x
  2. Step 2: Convert to fraction form
    143,311.78/214,943.63 = 214,943.63/x
  3. Step 3: Cross multiply
    143,311.78x = 214,943.63 × 214,943.63
  4. Step 4: Simplify right side
    143,311.78x = 46,200,761,928.14
  5. Step 5: Solve for x
    x = 46,200,761,928.14/143,311.78
  6. Step 6: Final answer
    x = 322,379.37

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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.