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Finding the Third Proportional to 100,256 and 219,646

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Solution

The third proportional to 100,256 and 219,646 is: 481,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,256 : 219,646 = 219,646 : x
  2. Step 2: Convert to fraction form
    100,256/219,646 = 219,646/x
  3. Step 3: Cross multiply
    100,256x = 219,646 × 219,646
  4. Step 4: Simplify right side
    100,256x = 48,244,365,316
  5. Step 5: Solve for x
    x = 48,244,365,316/100,256
  6. Step 6: Final answer
    x = 481,211.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.