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Finding the Third Proportional to 66,188 and 143,496

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Solution

The third proportional to 66,188 and 143,496 is: 311,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188 : 143,496 = 143,496 : x
  2. Step 2: Convert to fraction form
    66,188/143,496 = 143,496/x
  3. Step 3: Cross multiply
    66,188x = 143,496 × 143,496
  4. Step 4: Simplify right side
    66,188x = 20,591,102,016
  5. Step 5: Solve for x
    x = 20,591,102,016/66,188
  6. Step 6: Final answer
    x = 311,100.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.