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Finding the Third Proportional to 66,831 and 144,109

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Solution

The third proportional to 66,831 and 144,109 is: 310,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,831 : 144,109 = 144,109 : x
  2. Step 2: Convert to fraction form
    66,831/144,109 = 144,109/x
  3. Step 3: Cross multiply
    66,831x = 144,109 × 144,109
  4. Step 4: Simplify right side
    66,831x = 20,767,403,881
  5. Step 5: Solve for x
    x = 20,767,403,881/66,831
  6. Step 6: Final answer
    x = 310,745.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.