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Finding the Third Proportional to 69,835,511 and 164,621,689

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Solution

The third proportional to 69,835,511 and 164,621,689 is: 388,059,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,511 : 164,621,689 = 164,621,689 : x
  2. Step 2: Convert to fraction form
    69,835,511/164,621,689 = 164,621,689/x
  3. Step 3: Cross multiply
    69,835,511x = 164,621,689 × 164,621,689
  4. Step 4: Simplify right side
    69,835,511x = 27,100,300,489,212,720
  5. Step 5: Solve for x
    x = 27,100,300,489,212,720/69,835,511
  6. Step 6: Final answer
    x = 388,059,027.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.