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Finding the Third Proportional to 66,286 and 140,250

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Solution

The third proportional to 66,286 and 140,250 is: 296,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,286 : 140,250 = 140,250 : x
  2. Step 2: Convert to fraction form
    66,286/140,250 = 140,250/x
  3. Step 3: Cross multiply
    66,286x = 140,250 × 140,250
  4. Step 4: Simplify right side
    66,286x = 19,670,062,500
  5. Step 5: Solve for x
    x = 19,670,062,500/66,286
  6. Step 6: Final answer
    x = 296,745.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.