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Finding the Third Proportional to 120,883 and 258,398

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Solution

The third proportional to 120,883 and 258,398 is: 552,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883 : 258,398 = 258,398 : x
  2. Step 2: Convert to fraction form
    120,883/258,398 = 258,398/x
  3. Step 3: Cross multiply
    120,883x = 258,398 × 258,398
  4. Step 4: Simplify right side
    120,883x = 66,769,526,404
  5. Step 5: Solve for x
    x = 66,769,526,404/120,883
  6. Step 6: Final answer
    x = 552,348.36

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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.