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Finding the Third Proportional to 104,848,365 and 228,104,682

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Solution

The third proportional to 104,848,365 and 228,104,682 is: 496,257,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,848,365 : 228,104,682 = 228,104,682 : x
  2. Step 2: Convert to fraction form
    104,848,365/228,104,682 = 228,104,682/x
  3. Step 3: Cross multiply
    104,848,365x = 228,104,682 × 228,104,682
  4. Step 4: Simplify right side
    104,848,365x = 52,031,745,950,321,120
  5. Step 5: Solve for x
    x = 52,031,745,950,321,120/104,848,365
  6. Step 6: Final answer
    x = 496,257,103.77

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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.