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Finding the Third Proportional to 120,741 and 263,919

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Solution

The third proportional to 120,741 and 263,919 is: 576,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,741 : 263,919 = 263,919 : x
  2. Step 2: Convert to fraction form
    120,741/263,919 = 263,919/x
  3. Step 3: Cross multiply
    120,741x = 263,919 × 263,919
  4. Step 4: Simplify right side
    120,741x = 69,653,238,561
  5. Step 5: Solve for x
    x = 69,653,238,561/120,741
  6. Step 6: Final answer
    x = 576,881.41

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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.