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Finding the Third Proportional to 120,804 and 258,230

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Solution

The third proportional to 120,804 and 258,230 is: 551,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 258,230 = 258,230 : x
  2. Step 2: Convert to fraction form
    120,804/258,230 = 258,230/x
  3. Step 3: Cross multiply
    120,804x = 258,230 × 258,230
  4. Step 4: Simplify right side
    120,804x = 66,682,732,900
  5. Step 5: Solve for x
    x = 66,682,732,900/120,804
  6. Step 6: Final answer
    x = 551,991.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.