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Finding the Third Proportional to 534,400 and 821,760

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Solution

The third proportional to 534,400 and 821,760 is: 1,263,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,400 : 821,760 = 821,760 : x
  2. Step 2: Convert to fraction form
    534,400/821,760 = 821,760/x
  3. Step 3: Cross multiply
    534,400x = 821,760 × 821,760
  4. Step 4: Simplify right side
    534,400x = 675,289,497,600
  5. Step 5: Solve for x
    x = 675,289,497,600/534,400
  6. Step 6: Final answer
    x = 1,263,640.53

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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.