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Finding the Third Proportional to 283,794.75 and 421,647.75

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Solution

The third proportional to 283,794.75 and 421,647.75 is: 626,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794.75 : 421,647.75 = 421,647.75 : x
  2. Step 2: Convert to fraction form
    283,794.75/421,647.75 = 421,647.75/x
  3. Step 3: Cross multiply
    283,794.75x = 421,647.75 × 421,647.75
  4. Step 4: Simplify right side
    283,794.75x = 177,786,825,080.06
  5. Step 5: Solve for x
    x = 177,786,825,080.06/283,794.75
  6. Step 6: Final answer
    x = 626,462.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.