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Finding the Third Proportional to 31,399 and 68,995

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Solution

The third proportional to 31,399 and 68,995 is: 151,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399 : 68,995 = 68,995 : x
  2. Step 2: Convert to fraction form
    31,399/68,995 = 68,995/x
  3. Step 3: Cross multiply
    31,399x = 68,995 × 68,995
  4. Step 4: Simplify right side
    31,399x = 4,760,310,025
  5. Step 5: Solve for x
    x = 4,760,310,025/31,399
  6. Step 6: Final answer
    x = 151,607.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.