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Finding the Third Proportional to 259,936 and 391,824

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Solution

The third proportional to 259,936 and 391,824 is: 590,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,936 : 391,824 = 391,824 : x
  2. Step 2: Convert to fraction form
    259,936/391,824 = 391,824/x
  3. Step 3: Cross multiply
    259,936x = 391,824 × 391,824
  4. Step 4: Simplify right side
    259,936x = 153,526,046,976
  5. Step 5: Solve for x
    x = 153,526,046,976/259,936
  6. Step 6: Final answer
    x = 590,630.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.