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Finding the Third Proportional to 104,422,168 and 221,292,328

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Solution

The third proportional to 104,422,168 and 221,292,328 is: 468,964,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,422,168 : 221,292,328 = 221,292,328 : x
  2. Step 2: Convert to fraction form
    104,422,168/221,292,328 = 221,292,328/x
  3. Step 3: Cross multiply
    104,422,168x = 221,292,328 × 221,292,328
  4. Step 4: Simplify right side
    104,422,168x = 48,970,294,431,659,584
  5. Step 5: Solve for x
    x = 48,970,294,431,659,584/104,422,168
  6. Step 6: Final answer
    x = 468,964,544.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.