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Finding the Third Proportional to 100,288 and 208,844

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Solution

The third proportional to 100,288 and 208,844 is: 434,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 208,844 = 208,844 : x
  2. Step 2: Convert to fraction form
    100,288/208,844 = 208,844/x
  3. Step 3: Cross multiply
    100,288x = 208,844 × 208,844
  4. Step 4: Simplify right side
    100,288x = 43,615,816,336
  5. Step 5: Solve for x
    x = 43,615,816,336/100,288
  6. Step 6: Final answer
    x = 434,905.64

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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.