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Finding the Third Proportional to 221,808,138 and 494,616,954

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Solution

The third proportional to 221,808,138 and 494,616,954 is: 1,102,961,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808,138 : 494,616,954 = 494,616,954 : x
  2. Step 2: Convert to fraction form
    221,808,138/494,616,954 = 494,616,954/x
  3. Step 3: Cross multiply
    221,808,138x = 494,616,954 × 494,616,954
  4. Step 4: Simplify right side
    221,808,138x = 244,645,931,184,238,112
  5. Step 5: Solve for x
    x = 244,645,931,184,238,112/221,808,138
  6. Step 6: Final answer
    x = 1,102,961,926.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.