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Finding the Third Proportional to 104,022 and 223,844.25

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Solution

The third proportional to 104,022 and 223,844.25 is: 481,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 223,844.25 = 223,844.25 : x
  2. Step 2: Convert to fraction form
    104,022/223,844.25 = 223,844.25/x
  3. Step 3: Cross multiply
    104,022x = 223,844.25 × 223,844.25
  4. Step 4: Simplify right side
    104,022x = 50,106,248,258.06
  5. Step 5: Solve for x
    x = 50,106,248,258.06/104,022
  6. Step 6: Final answer
    x = 481,688.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.