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Finding the Third Proportional to 66,772 and 146,984

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Solution

The third proportional to 66,772 and 146,984 is: 323,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,772 : 146,984 = 146,984 : x
  2. Step 2: Convert to fraction form
    66,772/146,984 = 146,984/x
  3. Step 3: Cross multiply
    66,772x = 146,984 × 146,984
  4. Step 4: Simplify right side
    66,772x = 21,604,296,256
  5. Step 5: Solve for x
    x = 21,604,296,256/66,772
  6. Step 6: Final answer
    x = 323,553.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.