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Finding the Third Proportional to 380,807 and 827,168

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Solution

The third proportional to 380,807 and 827,168 is: 1,796,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,807 : 827,168 = 827,168 : x
  2. Step 2: Convert to fraction form
    380,807/827,168 = 827,168/x
  3. Step 3: Cross multiply
    380,807x = 827,168 × 827,168
  4. Step 4: Simplify right side
    380,807x = 684,206,900,224
  5. Step 5: Solve for x
    x = 684,206,900,224/380,807
  6. Step 6: Final answer
    x = 1,796,728.79

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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.