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Finding the Third Proportional to 66,966 and 144,184

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Solution

The third proportional to 66,966 and 144,184 is: 310,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966 : 144,184 = 144,184 : x
  2. Step 2: Convert to fraction form
    66,966/144,184 = 144,184/x
  3. Step 3: Cross multiply
    66,966x = 144,184 × 144,184
  4. Step 4: Simplify right side
    66,966x = 20,789,025,856
  5. Step 5: Solve for x
    x = 20,789,025,856/66,966
  6. Step 6: Final answer
    x = 310,441.51

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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.