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Finding the Third Proportional to 181,078 and 270,401

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Solution

The third proportional to 181,078 and 270,401 is: 403,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,078 : 270,401 = 270,401 : x
  2. Step 2: Convert to fraction form
    181,078/270,401 = 270,401/x
  3. Step 3: Cross multiply
    181,078x = 270,401 × 270,401
  4. Step 4: Simplify right side
    181,078x = 73,116,700,801
  5. Step 5: Solve for x
    x = 73,116,700,801/181,078
  6. Step 6: Final answer
    x = 403,785.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.