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Finding the Third Proportional to 259,911 and 391,787

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Solution

The third proportional to 259,911 and 391,787 is: 590,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911 : 391,787 = 391,787 : x
  2. Step 2: Convert to fraction form
    259,911/391,787 = 391,787/x
  3. Step 3: Cross multiply
    259,911x = 391,787 × 391,787
  4. Step 4: Simplify right side
    259,911x = 153,497,053,369
  5. Step 5: Solve for x
    x = 153,497,053,369/259,911
  6. Step 6: Final answer
    x = 590,575.44

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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.