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Finding the Third Proportional to 286,698 and 400,994

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Solution

The third proportional to 286,698 and 400,994 is: 560,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,698 : 400,994 = 400,994 : x
  2. Step 2: Convert to fraction form
    286,698/400,994 = 400,994/x
  3. Step 3: Cross multiply
    286,698x = 400,994 × 400,994
  4. Step 4: Simplify right side
    286,698x = 160,796,188,036
  5. Step 5: Solve for x
    x = 160,796,188,036/286,698
  6. Step 6: Final answer
    x = 560,855.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.