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Finding the Third Proportional to 115,965 and 165,388

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Solution

The third proportional to 115,965 and 165,388 is: 235,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,965 : 165,388 = 165,388 : x
  2. Step 2: Convert to fraction form
    115,965/165,388 = 165,388/x
  3. Step 3: Cross multiply
    115,965x = 165,388 × 165,388
  4. Step 4: Simplify right side
    115,965x = 27,353,190,544
  5. Step 5: Solve for x
    x = 27,353,190,544/115,965
  6. Step 6: Final answer
    x = 235,874.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.