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Finding the Third Proportional to 66,600 and 146,324.25

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Solution

The third proportional to 66,600 and 146,324.25 is: 321,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,600 : 146,324.25 = 146,324.25 : x
  2. Step 2: Convert to fraction form
    66,600/146,324.25 = 146,324.25/x
  3. Step 3: Cross multiply
    66,600x = 146,324.25 × 146,324.25
  4. Step 4: Simplify right side
    66,600x = 21,410,786,138.06
  5. Step 5: Solve for x
    x = 21,410,786,138.06/66,600
  6. Step 6: Final answer
    x = 321,483.28

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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.