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Finding the Third Proportional to 120,091 and 258,739

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Solution

The third proportional to 120,091 and 258,739 is: 557,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091 : 258,739 = 258,739 : x
  2. Step 2: Convert to fraction form
    120,091/258,739 = 258,739/x
  3. Step 3: Cross multiply
    120,091x = 258,739 × 258,739
  4. Step 4: Simplify right side
    120,091x = 66,945,870,121
  5. Step 5: Solve for x
    x = 66,945,870,121/120,091
  6. Step 6: Final answer
    x = 557,459.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.