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Finding the Third Proportional to 380,828 and 827,213

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Solution

The third proportional to 380,828 and 827,213 is: 1,796,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,828 : 827,213 = 827,213 : x
  2. Step 2: Convert to fraction form
    380,828/827,213 = 827,213/x
  3. Step 3: Cross multiply
    380,828x = 827,213 × 827,213
  4. Step 4: Simplify right side
    380,828x = 684,281,347,369
  5. Step 5: Solve for x
    x = 684,281,347,369/380,828
  6. Step 6: Final answer
    x = 1,796,825.20

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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.