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Finding the Third Proportional to 188,188,708 and 405,211,688

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Solution

The third proportional to 188,188,708 and 405,211,688 is: 872,509,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,188,708 : 405,211,688 = 405,211,688 : x
  2. Step 2: Convert to fraction form
    188,188,708/405,211,688 = 405,211,688/x
  3. Step 3: Cross multiply
    188,188,708x = 405,211,688 × 405,211,688
  4. Step 4: Simplify right side
    188,188,708x = 164,196,512,091,809,344
  5. Step 5: Solve for x
    x = 164,196,512,091,809,344/188,188,708
  6. Step 6: Final answer
    x = 872,509,906.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.