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Finding the Third Proportional to 255,800 and 538,112

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Solution

The third proportional to 255,800 and 538,112 is: 1,131,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,800 : 538,112 = 538,112 : x
  2. Step 2: Convert to fraction form
    255,800/538,112 = 538,112/x
  3. Step 3: Cross multiply
    255,800x = 538,112 × 538,112
  4. Step 4: Simplify right side
    255,800x = 289,564,524,544
  5. Step 5: Solve for x
    x = 289,564,524,544/255,800
  6. Step 6: Final answer
    x = 1,131,995.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.