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Finding the Third Proportional to 380,644 and 826,879

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Solution

The third proportional to 380,644 and 826,879 is: 1,796,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,644 : 826,879 = 826,879 : x
  2. Step 2: Convert to fraction form
    380,644/826,879 = 826,879/x
  3. Step 3: Cross multiply
    380,644x = 826,879 × 826,879
  4. Step 4: Simplify right side
    380,644x = 683,728,880,641
  5. Step 5: Solve for x
    x = 683,728,880,641/380,644
  6. Step 6: Final answer
    x = 1,796,242.37

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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.