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Finding the Third Proportional to 378,822 and 770,700

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Solution

The third proportional to 378,822 and 770,700 is: 1,567,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,822 : 770,700 = 770,700 : x
  2. Step 2: Convert to fraction form
    378,822/770,700 = 770,700/x
  3. Step 3: Cross multiply
    378,822x = 770,700 × 770,700
  4. Step 4: Simplify right side
    378,822x = 593,978,490,000
  5. Step 5: Solve for x
    x = 593,978,490,000/378,822
  6. Step 6: Final answer
    x = 1,567,961.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.