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Finding the Third Proportional to 380,826 and 827,207

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Solution

The third proportional to 380,826 and 827,207 is: 1,796,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,826 : 827,207 = 827,207 : x
  2. Step 2: Convert to fraction form
    380,826/827,207 = 827,207/x
  3. Step 3: Cross multiply
    380,826x = 827,207 × 827,207
  4. Step 4: Simplify right side
    380,826x = 684,271,420,849
  5. Step 5: Solve for x
    x = 684,271,420,849/380,826
  6. Step 6: Final answer
    x = 1,796,808.57

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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.