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Finding the Third Proportional to 66,625 and 143,131

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Solution

The third proportional to 66,625 and 143,131 is: 307,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,625 : 143,131 = 143,131 : x
  2. Step 2: Convert to fraction form
    66,625/143,131 = 143,131/x
  3. Step 3: Cross multiply
    66,625x = 143,131 × 143,131
  4. Step 4: Simplify right side
    66,625x = 20,486,483,161
  5. Step 5: Solve for x
    x = 20,486,483,161/66,625
  6. Step 6: Final answer
    x = 307,489.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.