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Finding the Third Proportional to 120,858 and 261,804

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Solution

The third proportional to 120,858 and 261,804 is: 567,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 261,804 = 261,804 : x
  2. Step 2: Convert to fraction form
    120,858/261,804 = 261,804/x
  3. Step 3: Cross multiply
    120,858x = 261,804 × 261,804
  4. Step 4: Simplify right side
    120,858x = 68,541,334,416
  5. Step 5: Solve for x
    x = 68,541,334,416/120,858
  6. Step 6: Final answer
    x = 567,122.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.