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Finding the Third Proportional to 151,195,043 and 329,759,296

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Solution

The third proportional to 151,195,043 and 329,759,296 is: 719,211,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,195,043 : 329,759,296 = 329,759,296 : x
  2. Step 2: Convert to fraction form
    151,195,043/329,759,296 = 329,759,296/x
  3. Step 3: Cross multiply
    151,195,043x = 329,759,296 × 329,759,296
  4. Step 4: Simplify right side
    151,195,043x = 108,741,193,298,415,616
  5. Step 5: Solve for x
    x = 108,741,193,298,415,616/151,195,043
  6. Step 6: Final answer
    x = 719,211,365.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.