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Finding the Third Proportional to 257,572 and 543,112

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Solution

The third proportional to 257,572 and 543,112 is: 1,145,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572 : 543,112 = 543,112 : x
  2. Step 2: Convert to fraction form
    257,572/543,112 = 543,112/x
  3. Step 3: Cross multiply
    257,572x = 543,112 × 543,112
  4. Step 4: Simplify right side
    257,572x = 294,970,644,544
  5. Step 5: Solve for x
    x = 294,970,644,544/257,572
  6. Step 6: Final answer
    x = 1,145,196.86

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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.