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Finding the Third Proportional to 428,183 and 882,285

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Solution

The third proportional to 428,183 and 882,285 is: 1,817,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,183 : 882,285 = 882,285 : x
  2. Step 2: Convert to fraction form
    428,183/882,285 = 882,285/x
  3. Step 3: Cross multiply
    428,183x = 882,285 × 882,285
  4. Step 4: Simplify right side
    428,183x = 778,426,821,225
  5. Step 5: Solve for x
    x = 778,426,821,225/428,183
  6. Step 6: Final answer
    x = 1,817,976.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.