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Finding the Third Proportional to 478,811 and 1,028,183

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Solution

The third proportional to 478,811 and 1,028,183 is: 2,207,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,811 : 1,028,183 = 1,028,183 : x
  2. Step 2: Convert to fraction form
    478,811/1,028,183 = 1,028,183/x
  3. Step 3: Cross multiply
    478,811x = 1,028,183 × 1,028,183
  4. Step 4: Simplify right side
    478,811x = 1,057,160,281,489
  5. Step 5: Solve for x
    x = 1,057,160,281,489/478,811
  6. Step 6: Final answer
    x = 2,207,886.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.