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Finding the Third Proportional to 381,824 and 582,780

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Solution

The third proportional to 381,824 and 582,780 is: 889,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,824 : 582,780 = 582,780 : x
  2. Step 2: Convert to fraction form
    381,824/582,780 = 582,780/x
  3. Step 3: Cross multiply
    381,824x = 582,780 × 582,780
  4. Step 4: Simplify right side
    381,824x = 339,632,528,400
  5. Step 5: Solve for x
    x = 339,632,528,400/381,824
  6. Step 6: Final answer
    x = 889,500.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.