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Finding the Third Proportional to 166,078 and 264,388

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Solution

The third proportional to 166,078 and 264,388 is: 420,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,078 : 264,388 = 264,388 : x
  2. Step 2: Convert to fraction form
    166,078/264,388 = 264,388/x
  3. Step 3: Cross multiply
    166,078x = 264,388 × 264,388
  4. Step 4: Simplify right side
    166,078x = 69,901,014,544
  5. Step 5: Solve for x
    x = 69,901,014,544/166,078
  6. Step 6: Final answer
    x = 420,892.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.