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Finding the Third Proportional to 66,286 and 100,393

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Solution

The third proportional to 66,286 and 100,393 is: 152,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,286 : 100,393 = 100,393 : x
  2. Step 2: Convert to fraction form
    66,286/100,393 = 100,393/x
  3. Step 3: Cross multiply
    66,286x = 100,393 × 100,393
  4. Step 4: Simplify right side
    66,286x = 10,078,754,449
  5. Step 5: Solve for x
    x = 10,078,754,449/66,286
  6. Step 6: Final answer
    x = 152,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.