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Finding the Third Proportional to 273,286.50 and 638,296.50

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Solution

The third proportional to 273,286.50 and 638,296.50 is: 1,490,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,286.50 : 638,296.50 = 638,296.50 : x
  2. Step 2: Convert to fraction form
    273,286.50/638,296.50 = 638,296.50/x
  3. Step 3: Cross multiply
    273,286.50x = 638,296.50 × 638,296.50
  4. Step 4: Simplify right side
    273,286.50x = 407,422,421,912.25
  5. Step 5: Solve for x
    x = 407,422,421,912.25/273,286.50
  6. Step 6: Final answer
    x = 1,490,825.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.