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Finding the Third Proportional to 120,615 and 263,586

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Solution

The third proportional to 120,615 and 263,586 is: 576,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,615 : 263,586 = 263,586 : x
  2. Step 2: Convert to fraction form
    120,615/263,586 = 263,586/x
  3. Step 3: Cross multiply
    120,615x = 263,586 × 263,586
  4. Step 4: Simplify right side
    120,615x = 69,477,579,396
  5. Step 5: Solve for x
    x = 69,477,579,396/120,615
  6. Step 6: Final answer
    x = 576,027.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.