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Finding the Third Proportional to 325,832 and 690,256

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Solution

The third proportional to 325,832 and 690,256 is: 1,462,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,832 : 690,256 = 690,256 : x
  2. Step 2: Convert to fraction form
    325,832/690,256 = 690,256/x
  3. Step 3: Cross multiply
    325,832x = 690,256 × 690,256
  4. Step 4: Simplify right side
    325,832x = 476,453,345,536
  5. Step 5: Solve for x
    x = 476,453,345,536/325,832
  6. Step 6: Final answer
    x = 1,462,266.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.