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Finding the Third Proportional to 396,786 and 567,178

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Solution

The third proportional to 396,786 and 567,178 is: 810,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,786 : 567,178 = 567,178 : x
  2. Step 2: Convert to fraction form
    396,786/567,178 = 567,178/x
  3. Step 3: Cross multiply
    396,786x = 567,178 × 567,178
  4. Step 4: Simplify right side
    396,786x = 321,690,883,684
  5. Step 5: Solve for x
    x = 321,690,883,684/396,786
  6. Step 6: Final answer
    x = 810,741.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.