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Finding the Third Proportional to 31,296 and 68,505

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Solution

The third proportional to 31,296 and 68,505 is: 149,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296 : 68,505 = 68,505 : x
  2. Step 2: Convert to fraction form
    31,296/68,505 = 68,505/x
  3. Step 3: Cross multiply
    31,296x = 68,505 × 68,505
  4. Step 4: Simplify right side
    31,296x = 4,692,935,025
  5. Step 5: Solve for x
    x = 4,692,935,025/31,296
  6. Step 6: Final answer
    x = 149,953.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.