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Finding the Third Proportional to 66,028.50 and 143,847

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Solution

The third proportional to 66,028.50 and 143,847 is: 313,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028.50 : 143,847 = 143,847 : x
  2. Step 2: Convert to fraction form
    66,028.50/143,847 = 143,847/x
  3. Step 3: Cross multiply
    66,028.50x = 143,847 × 143,847
  4. Step 4: Simplify right side
    66,028.50x = 20,691,959,409
  5. Step 5: Solve for x
    x = 20,691,959,409/66,028.50
  6. Step 6: Final answer
    x = 313,379.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.