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Finding the Third Proportional to 103,084 and 223,661

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Solution

The third proportional to 103,084 and 223,661 is: 485,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084 : 223,661 = 223,661 : x
  2. Step 2: Convert to fraction form
    103,084/223,661 = 223,661/x
  3. Step 3: Cross multiply
    103,084x = 223,661 × 223,661
  4. Step 4: Simplify right side
    103,084x = 50,024,242,921
  5. Step 5: Solve for x
    x = 50,024,242,921/103,084
  6. Step 6: Final answer
    x = 485,276.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.