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Finding the Third Proportional to 257,576 and 543,120

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Solution

The third proportional to 257,576 and 543,120 is: 1,145,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,576 : 543,120 = 543,120 : x
  2. Step 2: Convert to fraction form
    257,576/543,120 = 543,120/x
  3. Step 3: Cross multiply
    257,576x = 543,120 × 543,120
  4. Step 4: Simplify right side
    257,576x = 294,979,334,400
  5. Step 5: Solve for x
    x = 294,979,334,400/257,576
  6. Step 6: Final answer
    x = 1,145,212.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.