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Finding the Third Proportional to 387,586 and 822,152

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Solution

The third proportional to 387,586 and 822,152 is: 1,743,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,586 : 822,152 = 822,152 : x
  2. Step 2: Convert to fraction form
    387,586/822,152 = 822,152/x
  3. Step 3: Cross multiply
    387,586x = 822,152 × 822,152
  4. Step 4: Simplify right side
    387,586x = 675,933,911,104
  5. Step 5: Solve for x
    x = 675,933,911,104/387,586
  6. Step 6: Final answer
    x = 1,743,958.53

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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.