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Finding the Third Proportional to 821,477 and 1,765,183

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Solution

The third proportional to 821,477 and 1,765,183 is: 3,793,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,477 : 1,765,183 = 1,765,183 : x
  2. Step 2: Convert to fraction form
    821,477/1,765,183 = 1,765,183/x
  3. Step 3: Cross multiply
    821,477x = 1,765,183 × 1,765,183
  4. Step 4: Simplify right side
    821,477x = 3,115,871,023,489
  5. Step 5: Solve for x
    x = 3,115,871,023,489/821,477
  6. Step 6: Final answer
    x = 3,793,010.67

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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.