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Finding the Third Proportional to 168,265 and 393,203.50

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Solution

The third proportional to 168,265 and 393,203.50 is: 918,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,265 : 393,203.50 = 393,203.50 : x
  2. Step 2: Convert to fraction form
    168,265/393,203.50 = 393,203.50/x
  3. Step 3: Cross multiply
    168,265x = 393,203.50 × 393,203.50
  4. Step 4: Simplify right side
    168,265x = 154,608,992,412.25
  5. Step 5: Solve for x
    x = 154,608,992,412.25/168,265
  6. Step 6: Final answer
    x = 918,842.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.