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Finding the Third Proportional to 257,574 and 543,116

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Solution

The third proportional to 257,574 and 543,116 is: 1,145,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,574 : 543,116 = 543,116 : x
  2. Step 2: Convert to fraction form
    257,574/543,116 = 543,116/x
  3. Step 3: Cross multiply
    257,574x = 543,116 × 543,116
  4. Step 4: Simplify right side
    257,574x = 294,974,989,456
  5. Step 5: Solve for x
    x = 294,974,989,456/257,574
  6. Step 6: Final answer
    x = 1,145,204.83

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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.