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Finding the Third Proportional to 165,015 and 397,393.50

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Solution

The third proportional to 165,015 and 397,393.50 is: 957,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015 : 397,393.50 = 397,393.50 : x
  2. Step 2: Convert to fraction form
    165,015/397,393.50 = 397,393.50/x
  3. Step 3: Cross multiply
    165,015x = 397,393.50 × 397,393.50
  4. Step 4: Simplify right side
    165,015x = 157,921,593,842.25
  5. Step 5: Solve for x
    x = 157,921,593,842.25/165,015
  6. Step 6: Final answer
    x = 957,013.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.