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Finding the Third Proportional to 534,500 and 821,912

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Solution

The third proportional to 534,500 and 821,912 is: 1,263,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,500 : 821,912 = 821,912 : x
  2. Step 2: Convert to fraction form
    534,500/821,912 = 821,912/x
  3. Step 3: Cross multiply
    534,500x = 821,912 × 821,912
  4. Step 4: Simplify right side
    534,500x = 675,539,335,744
  5. Step 5: Solve for x
    x = 675,539,335,744/534,500
  6. Step 6: Final answer
    x = 1,263,871.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.