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Finding the Third Proportional to 203,485 and 278,841

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Solution

The third proportional to 203,485 and 278,841 is: 382,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485 : 278,841 = 278,841 : x
  2. Step 2: Convert to fraction form
    203,485/278,841 = 278,841/x
  3. Step 3: Cross multiply
    203,485x = 278,841 × 278,841
  4. Step 4: Simplify right side
    203,485x = 77,752,303,281
  5. Step 5: Solve for x
    x = 77,752,303,281/203,485
  6. Step 6: Final answer
    x = 382,103.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.