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Finding the Third Proportional to 340,755.75 and 743,408.25

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Solution

The third proportional to 340,755.75 and 743,408.25 is: 1,621,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,755.75 : 743,408.25 = 743,408.25 : x
  2. Step 2: Convert to fraction form
    340,755.75/743,408.25 = 743,408.25/x
  3. Step 3: Cross multiply
    340,755.75x = 743,408.25 × 743,408.25
  4. Step 4: Simplify right side
    340,755.75x = 552,655,826,168.06
  5. Step 5: Solve for x
    x = 552,655,826,168.06/340,755.75
  6. Step 6: Final answer
    x = 1,621,853.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.