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Finding the Third Proportional to 423.63 and 879.68

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Solution

The third proportional to 423.63 and 879.68 is: 1,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 879.68 = 879.68 : x
  2. Step 2: Convert to fraction form
    423.63/879.68 = 879.68/x
  3. Step 3: Cross multiply
    423.63x = 879.68 × 879.68
  4. Step 4: Simplify right side
    423.63x = 773,836.35
  5. Step 5: Solve for x
    x = 773,836.35/423.63
  6. Step 6: Final answer
    x = 1,826.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.