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Finding the Third Proportional to 68,296 and 148,256

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Solution

The third proportional to 68,296 and 148,256 is: 321,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,296 : 148,256 = 148,256 : x
  2. Step 2: Convert to fraction form
    68,296/148,256 = 148,256/x
  3. Step 3: Cross multiply
    68,296x = 148,256 × 148,256
  4. Step 4: Simplify right side
    68,296x = 21,979,841,536
  5. Step 5: Solve for x
    x = 21,979,841,536/68,296
  6. Step 6: Final answer
    x = 321,832.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.