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Finding the Third Proportional to 71,751,540 and 168,448,170

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Solution

The third proportional to 71,751,540 and 168,448,170 is: 395,458,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751,540 : 168,448,170 = 168,448,170 : x
  2. Step 2: Convert to fraction form
    71,751,540/168,448,170 = 168,448,170/x
  3. Step 3: Cross multiply
    71,751,540x = 168,448,170 × 168,448,170
  4. Step 4: Simplify right side
    71,751,540x = 28,374,785,976,348,900
  5. Step 5: Solve for x
    x = 28,374,785,976,348,900/71,751,540
  6. Step 6: Final answer
    x = 395,458,912.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.