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Finding the Third Proportional to 534,240 and 821,520

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Solution

The third proportional to 534,240 and 821,520 is: 1,263,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,240 : 821,520 = 821,520 : x
  2. Step 2: Convert to fraction form
    534,240/821,520 = 821,520/x
  3. Step 3: Cross multiply
    534,240x = 821,520 × 821,520
  4. Step 4: Simplify right side
    534,240x = 674,895,110,400
  5. Step 5: Solve for x
    x = 674,895,110,400/534,240
  6. Step 6: Final answer
    x = 1,263,280.75

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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.