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Finding the Third Proportional to 66,966 and 146,779

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Solution

The third proportional to 66,966 and 146,779 is: 321,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966 : 146,779 = 146,779 : x
  2. Step 2: Convert to fraction form
    66,966/146,779 = 146,779/x
  3. Step 3: Cross multiply
    66,966x = 146,779 × 146,779
  4. Step 4: Simplify right side
    66,966x = 21,544,074,841
  5. Step 5: Solve for x
    x = 21,544,074,841/66,966
  6. Step 6: Final answer
    x = 321,716.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.