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Finding the Third Proportional to 120,169 and 262,782

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Solution

The third proportional to 120,169 and 262,782 is: 574,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169 : 262,782 = 262,782 : x
  2. Step 2: Convert to fraction form
    120,169/262,782 = 262,782/x
  3. Step 3: Cross multiply
    120,169x = 262,782 × 262,782
  4. Step 4: Simplify right side
    120,169x = 69,054,379,524
  5. Step 5: Solve for x
    x = 69,054,379,524/120,169
  6. Step 6: Final answer
    x = 574,643.87

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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.