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Finding the Third Proportional to 280,283.63 and 420,015.38

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Solution

The third proportional to 280,283.63 and 420,015.38 is: 629,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,283.63 : 420,015.38 = 420,015.38 : x
  2. Step 2: Convert to fraction form
    280,283.63/420,015.38 = 420,015.38/x
  3. Step 3: Cross multiply
    280,283.63x = 420,015.38 × 420,015.38
  4. Step 4: Simplify right side
    280,283.63x = 176,412,915,236.39
  5. Step 5: Solve for x
    x = 176,412,915,236.39/280,283.63
  6. Step 6: Final answer
    x = 629,408.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.