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Finding the Third Proportional to 100,276 and 213,896

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Solution

The third proportional to 100,276 and 213,896 is: 456,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,276 : 213,896 = 213,896 : x
  2. Step 2: Convert to fraction form
    100,276/213,896 = 213,896/x
  3. Step 3: Cross multiply
    100,276x = 213,896 × 213,896
  4. Step 4: Simplify right side
    100,276x = 45,751,498,816
  5. Step 5: Solve for x
    x = 45,751,498,816/100,276
  6. Step 6: Final answer
    x = 456,255.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.