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Finding the Third Proportional to 75,788,009 and 164,439,631

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Solution

The third proportional to 75,788,009 and 164,439,631 is: 356,789,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788,009 : 164,439,631 = 164,439,631 : x
  2. Step 2: Convert to fraction form
    75,788,009/164,439,631 = 164,439,631/x
  3. Step 3: Cross multiply
    75,788,009x = 164,439,631 × 164,439,631
  4. Step 4: Simplify right side
    75,788,009x = 27,040,392,243,416,160
  5. Step 5: Solve for x
    x = 27,040,392,243,416,160/75,788,009
  6. Step 6: Final answer
    x = 356,789,848.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.