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Finding the Third Proportional to 180,828 and 258,318

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Solution

The third proportional to 180,828 and 258,318 is: 369,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828 : 258,318 = 258,318 : x
  2. Step 2: Convert to fraction form
    180,828/258,318 = 258,318/x
  3. Step 3: Cross multiply
    180,828x = 258,318 × 258,318
  4. Step 4: Simplify right side
    180,828x = 66,728,189,124
  5. Step 5: Solve for x
    x = 66,728,189,124/180,828
  6. Step 6: Final answer
    x = 369,014.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.