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Finding the Third Proportional to 257,570 and 543,108

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Solution

The third proportional to 257,570 and 543,108 is: 1,145,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,570 : 543,108 = 543,108 : x
  2. Step 2: Convert to fraction form
    257,570/543,108 = 543,108/x
  3. Step 3: Cross multiply
    257,570x = 543,108 × 543,108
  4. Step 4: Simplify right side
    257,570x = 294,966,299,664
  5. Step 5: Solve for x
    x = 294,966,299,664/257,570
  6. Step 6: Final answer
    x = 1,145,188.88

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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.