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Finding the Third Proportional to 380,979 and 827,634

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Solution

The third proportional to 380,979 and 827,634 is: 1,797,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,979 : 827,634 = 827,634 : x
  2. Step 2: Convert to fraction form
    380,979/827,634 = 827,634/x
  3. Step 3: Cross multiply
    380,979x = 827,634 × 827,634
  4. Step 4: Simplify right side
    380,979x = 684,978,037,956
  5. Step 5: Solve for x
    x = 684,978,037,956/380,979
  6. Step 6: Final answer
    x = 1,797,941.72

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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.