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Finding the Third Proportional to 165,912 and 255,159

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Solution

The third proportional to 165,912 and 255,159 is: 392,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,912 : 255,159 = 255,159 : x
  2. Step 2: Convert to fraction form
    165,912/255,159 = 255,159/x
  3. Step 3: Cross multiply
    165,912x = 255,159 × 255,159
  4. Step 4: Simplify right side
    165,912x = 65,106,115,281
  5. Step 5: Solve for x
    x = 65,106,115,281/165,912
  6. Step 6: Final answer
    x = 392,413.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.