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Finding the Third Proportional to 66,189 and 146,202

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Solution

The third proportional to 66,189 and 146,202 is: 322,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,189 : 146,202 = 146,202 : x
  2. Step 2: Convert to fraction form
    66,189/146,202 = 146,202/x
  3. Step 3: Cross multiply
    66,189x = 146,202 × 146,202
  4. Step 4: Simplify right side
    66,189x = 21,375,024,804
  5. Step 5: Solve for x
    x = 21,375,024,804/66,189
  6. Step 6: Final answer
    x = 322,939.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.