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Finding the Third Proportional to 104,661 and 218,178

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Solution

The third proportional to 104,661 and 218,178 is: 454,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,661 : 218,178 = 218,178 : x
  2. Step 2: Convert to fraction form
    104,661/218,178 = 218,178/x
  3. Step 3: Cross multiply
    104,661x = 218,178 × 218,178
  4. Step 4: Simplify right side
    104,661x = 47,601,639,684
  5. Step 5: Solve for x
    x = 47,601,639,684/104,661
  6. Step 6: Final answer
    x = 454,817.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.