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Finding the Third Proportional to 859,446 and 1,821,345

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Solution

The third proportional to 859,446 and 1,821,345 is: 3,859,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,446 : 1,821,345 = 1,821,345 : x
  2. Step 2: Convert to fraction form
    859,446/1,821,345 = 1,821,345/x
  3. Step 3: Cross multiply
    859,446x = 1,821,345 × 1,821,345
  4. Step 4: Simplify right side
    859,446x = 3,317,297,609,025
  5. Step 5: Solve for x
    x = 3,317,297,609,025/859,446
  6. Step 6: Final answer
    x = 3,859,809.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.