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Finding the Third Proportional to 205,288 and 426,896

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Solution

The third proportional to 205,288 and 426,896 is: 887,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,288 : 426,896 = 426,896 : x
  2. Step 2: Convert to fraction form
    205,288/426,896 = 426,896/x
  3. Step 3: Cross multiply
    205,288x = 426,896 × 426,896
  4. Step 4: Simplify right side
    205,288x = 182,240,194,816
  5. Step 5: Solve for x
    x = 182,240,194,816/205,288
  6. Step 6: Final answer
    x = 887,729.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.