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Finding the Third Proportional to 120,275 and 258,318

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Solution

The third proportional to 120,275 and 258,318 is: 554,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,275 : 258,318 = 258,318 : x
  2. Step 2: Convert to fraction form
    120,275/258,318 = 258,318/x
  3. Step 3: Cross multiply
    120,275x = 258,318 × 258,318
  4. Step 4: Simplify right side
    120,275x = 66,728,189,124
  5. Step 5: Solve for x
    x = 66,728,189,124/120,275
  6. Step 6: Final answer
    x = 554,796.83

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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.