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Finding the Third Proportional to 447,047 and 871,615

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Solution

The third proportional to 447,047 and 871,615 is: 1,699,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,047 : 871,615 = 871,615 : x
  2. Step 2: Convert to fraction form
    447,047/871,615 = 871,615/x
  3. Step 3: Cross multiply
    447,047x = 871,615 × 871,615
  4. Step 4: Simplify right side
    447,047x = 759,712,708,225
  5. Step 5: Solve for x
    x = 759,712,708,225/447,047
  6. Step 6: Final answer
    x = 1,699,402.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.