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Finding the Third Proportional to 69,835,509 and 164,621,715

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Solution

The third proportional to 69,835,509 and 164,621,715 is: 388,059,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,509 : 164,621,715 = 164,621,715 : x
  2. Step 2: Convert to fraction form
    69,835,509/164,621,715 = 164,621,715/x
  3. Step 3: Cross multiply
    69,835,509x = 164,621,715 × 164,621,715
  4. Step 4: Simplify right side
    69,835,509x = 27,100,309,049,541,224
  5. Step 5: Solve for x
    x = 27,100,309,049,541,224/69,835,509
  6. Step 6: Final answer
    x = 388,059,161.27

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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.