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Finding the Third Proportional to 66,183 and 142,734

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Solution

The third proportional to 66,183 and 142,734 is: 307,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,183 : 142,734 = 142,734 : x
  2. Step 2: Convert to fraction form
    66,183/142,734 = 142,734/x
  3. Step 3: Cross multiply
    66,183x = 142,734 × 142,734
  4. Step 4: Simplify right side
    66,183x = 20,372,994,756
  5. Step 5: Solve for x
    x = 20,372,994,756/66,183
  6. Step 6: Final answer
    x = 307,828.22

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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.