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Finding the Third Proportional to 280,408.50 and 423,958.50

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Solution

The third proportional to 280,408.50 and 423,958.50 is: 640,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,408.50 : 423,958.50 = 423,958.50 : x
  2. Step 2: Convert to fraction form
    280,408.50/423,958.50 = 423,958.50/x
  3. Step 3: Cross multiply
    280,408.50x = 423,958.50 × 423,958.50
  4. Step 4: Simplify right side
    280,408.50x = 179,740,809,722.25
  5. Step 5: Solve for x
    x = 179,740,809,722.25/280,408.50
  6. Step 6: Final answer
    x = 640,996.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.