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Finding the Third Proportional to 98,406 and 211,878

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Solution

The third proportional to 98,406 and 211,878 is: 456,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406 : 211,878 = 211,878 : x
  2. Step 2: Convert to fraction form
    98,406/211,878 = 211,878/x
  3. Step 3: Cross multiply
    98,406x = 211,878 × 211,878
  4. Step 4: Simplify right side
    98,406x = 44,892,286,884
  5. Step 5: Solve for x
    x = 44,892,286,884/98,406
  6. Step 6: Final answer
    x = 456,194.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.