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Finding the Third Proportional to 120,868 and 258,344

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Solution

The third proportional to 120,868 and 258,344 is: 552,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868 : 258,344 = 258,344 : x
  2. Step 2: Convert to fraction form
    120,868/258,344 = 258,344/x
  3. Step 3: Cross multiply
    120,868x = 258,344 × 258,344
  4. Step 4: Simplify right side
    120,868x = 66,741,622,336
  5. Step 5: Solve for x
    x = 66,741,622,336/120,868
  6. Step 6: Final answer
    x = 552,186.04

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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.