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Finding the Third Proportional to 222,836,328 and 488,719,440

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Solution

The third proportional to 222,836,328 and 488,719,440 is: 1,071,848,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,836,328 : 488,719,440 = 488,719,440 : x
  2. Step 2: Convert to fraction form
    222,836,328/488,719,440 = 488,719,440/x
  3. Step 3: Cross multiply
    222,836,328x = 488,719,440 × 488,719,440
  4. Step 4: Simplify right side
    222,836,328x = 238,846,691,033,913,600
  5. Step 5: Solve for x
    x = 238,846,691,033,913,600/222,836,328
  6. Step 6: Final answer
    x = 1,071,848,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.