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Finding the Third Proportional to 85,992 and 130,286

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Solution

The third proportional to 85,992 and 130,286 is: 197,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,992 : 130,286 = 130,286 : x
  2. Step 2: Convert to fraction form
    85,992/130,286 = 130,286/x
  3. Step 3: Cross multiply
    85,992x = 130,286 × 130,286
  4. Step 4: Simplify right side
    85,992x = 16,974,441,796
  5. Step 5: Solve for x
    x = 16,974,441,796/85,992
  6. Step 6: Final answer
    x = 197,395.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.