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Finding the Third Proportional to 100,868 and 214,984

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Solution

The third proportional to 100,868 and 214,984 is: 458,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,868 : 214,984 = 214,984 : x
  2. Step 2: Convert to fraction form
    100,868/214,984 = 214,984/x
  3. Step 3: Cross multiply
    100,868x = 214,984 × 214,984
  4. Step 4: Simplify right side
    100,868x = 46,218,120,256
  5. Step 5: Solve for x
    x = 46,218,120,256/100,868
  6. Step 6: Final answer
    x = 458,203.99

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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.