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Finding the Third Proportional to 189,177 and 401,415

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Solution

The third proportional to 189,177 and 401,415 is: 851,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,177 : 401,415 = 401,415 : x
  2. Step 2: Convert to fraction form
    189,177/401,415 = 401,415/x
  3. Step 3: Cross multiply
    189,177x = 401,415 × 401,415
  4. Step 4: Simplify right side
    189,177x = 161,134,002,225
  5. Step 5: Solve for x
    x = 161,134,002,225/189,177
  6. Step 6: Final answer
    x = 851,763.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.