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Finding the Third Proportional to 222,836,400 and 488,719,584

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Solution

The third proportional to 222,836,400 and 488,719,584 is: 1,071,848,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,836,400 : 488,719,584 = 488,719,584 : x
  2. Step 2: Convert to fraction form
    222,836,400/488,719,584 = 488,719,584/x
  3. Step 3: Cross multiply
    222,836,400x = 488,719,584 × 488,719,584
  4. Step 4: Simplify right side
    222,836,400x = 238,846,831,785,133,056
  5. Step 5: Solve for x
    x = 238,846,831,785,133,056/222,836,400
  6. Step 6: Final answer
    x = 1,071,848,368.51

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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.