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Finding the Third Proportional to 66,660 and 146,496

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Solution

The third proportional to 66,660 and 146,496 is: 321,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,660 : 146,496 = 146,496 : x
  2. Step 2: Convert to fraction form
    66,660/146,496 = 146,496/x
  3. Step 3: Cross multiply
    66,660x = 146,496 × 146,496
  4. Step 4: Simplify right side
    66,660x = 21,461,078,016
  5. Step 5: Solve for x
    x = 21,461,078,016/66,660
  6. Step 6: Final answer
    x = 321,948.37

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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.