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Finding the Third Proportional to 66,827 and 139,183

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Solution

The third proportional to 66,827 and 139,183 is: 289,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,827 : 139,183 = 139,183 : x
  2. Step 2: Convert to fraction form
    66,827/139,183 = 139,183/x
  3. Step 3: Cross multiply
    66,827x = 139,183 × 139,183
  4. Step 4: Simplify right side
    66,827x = 19,371,907,489
  5. Step 5: Solve for x
    x = 19,371,907,489/66,827
  6. Step 6: Final answer
    x = 289,881.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.