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Finding the Third Proportional to 109,890 and 223,684

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Solution

The third proportional to 109,890 and 223,684 is: 455,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,890 : 223,684 = 223,684 : x
  2. Step 2: Convert to fraction form
    109,890/223,684 = 223,684/x
  3. Step 3: Cross multiply
    109,890x = 223,684 × 223,684
  4. Step 4: Simplify right side
    109,890x = 50,034,531,856
  5. Step 5: Solve for x
    x = 50,034,531,856/109,890
  6. Step 6: Final answer
    x = 455,314.70

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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.