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Finding the Third Proportional to 100,638 and 215,368

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Solution

The third proportional to 100,638 and 215,368 is: 460,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638 : 215,368 = 215,368 : x
  2. Step 2: Convert to fraction form
    100,638/215,368 = 215,368/x
  3. Step 3: Cross multiply
    100,638x = 215,368 × 215,368
  4. Step 4: Simplify right side
    100,638x = 46,383,375,424
  5. Step 5: Solve for x
    x = 46,383,375,424/100,638
  6. Step 6: Final answer
    x = 460,893.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.