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Finding the Third Proportional to 98,919 and 219,186

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Solution

The third proportional to 98,919 and 219,186 is: 485,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,919 : 219,186 = 219,186 : x
  2. Step 2: Convert to fraction form
    98,919/219,186 = 219,186/x
  3. Step 3: Cross multiply
    98,919x = 219,186 × 219,186
  4. Step 4: Simplify right side
    98,919x = 48,042,502,596
  5. Step 5: Solve for x
    x = 48,042,502,596/98,919
  6. Step 6: Final answer
    x = 485,675.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.