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Finding the Third Proportional to 104,228 and 212,148

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Solution

The third proportional to 104,228 and 212,148 is: 431,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,228 : 212,148 = 212,148 : x
  2. Step 2: Convert to fraction form
    104,228/212,148 = 212,148/x
  3. Step 3: Cross multiply
    104,228x = 212,148 × 212,148
  4. Step 4: Simplify right side
    104,228x = 45,006,773,904
  5. Step 5: Solve for x
    x = 45,006,773,904/104,228
  6. Step 6: Final answer
    x = 431,810.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.