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Finding the Third Proportional to 66,344 and 140,176

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Solution

The third proportional to 66,344 and 140,176 is: 296,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,344 : 140,176 = 140,176 : x
  2. Step 2: Convert to fraction form
    66,344/140,176 = 140,176/x
  3. Step 3: Cross multiply
    66,344x = 140,176 × 140,176
  4. Step 4: Simplify right side
    66,344x = 19,649,310,976
  5. Step 5: Solve for x
    x = 19,649,310,976/66,344
  6. Step 6: Final answer
    x = 296,173.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.