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Finding the Third Proportional to 248,064 and 543,420

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Solution

The third proportional to 248,064 and 543,420 is: 1,190,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,064 : 543,420 = 543,420 : x
  2. Step 2: Convert to fraction form
    248,064/543,420 = 543,420/x
  3. Step 3: Cross multiply
    248,064x = 543,420 × 543,420
  4. Step 4: Simplify right side
    248,064x = 295,305,296,400
  5. Step 5: Solve for x
    x = 295,305,296,400/248,064
  6. Step 6: Final answer
    x = 1,190,439.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.