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Finding the Third Proportional to 98,138 and 211,819

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Solution

The third proportional to 98,138 and 211,819 is: 457,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138 : 211,819 = 211,819 : x
  2. Step 2: Convert to fraction form
    98,138/211,819 = 211,819/x
  3. Step 3: Cross multiply
    98,138x = 211,819 × 211,819
  4. Step 4: Simplify right side
    98,138x = 44,867,288,761
  5. Step 5: Solve for x
    x = 44,867,288,761/98,138
  6. Step 6: Final answer
    x = 457,185.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.