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Finding the Third Proportional to 259,907 and 391,781

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Solution

The third proportional to 259,907 and 391,781 is: 590,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,907 : 391,781 = 391,781 : x
  2. Step 2: Convert to fraction form
    259,907/391,781 = 391,781/x
  3. Step 3: Cross multiply
    259,907x = 391,781 × 391,781
  4. Step 4: Simplify right side
    259,907x = 153,492,351,961
  5. Step 5: Solve for x
    x = 153,492,351,961/259,907
  6. Step 6: Final answer
    x = 590,566.44

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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.