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Finding the Third Proportional to 299,236.88 and 639,945.75

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Solution

The third proportional to 299,236.88 and 639,945.75 is: 1,368,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,236.88 : 639,945.75 = 639,945.75 : x
  2. Step 2: Convert to fraction form
    299,236.88/639,945.75 = 639,945.75/x
  3. Step 3: Cross multiply
    299,236.88x = 639,945.75 × 639,945.75
  4. Step 4: Simplify right side
    299,236.88x = 409,530,562,943.06
  5. Step 5: Solve for x
    x = 409,530,562,943.06/299,236.88
  6. Step 6: Final answer
    x = 1,368,583.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.