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Finding the Third Proportional to 305,268 and 638,400

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Solution

The third proportional to 305,268 and 638,400 is: 1,335,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,268 : 638,400 = 638,400 : x
  2. Step 2: Convert to fraction form
    305,268/638,400 = 638,400/x
  3. Step 3: Cross multiply
    305,268x = 638,400 × 638,400
  4. Step 4: Simplify right side
    305,268x = 407,554,560,000
  5. Step 5: Solve for x
    x = 407,554,560,000/305,268
  6. Step 6: Final answer
    x = 1,335,071.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.