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Finding the Third Proportional to 76,621,198 and 170,248,509

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Solution

The third proportional to 76,621,198 and 170,248,509 is: 378,283,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,621,198 : 170,248,509 = 170,248,509 : x
  2. Step 2: Convert to fraction form
    76,621,198/170,248,509 = 170,248,509/x
  3. Step 3: Cross multiply
    76,621,198x = 170,248,509 × 170,248,509
  4. Step 4: Simplify right side
    76,621,198x = 28,984,554,816,723,080
  5. Step 5: Solve for x
    x = 28,984,554,816,723,080/76,621,198
  6. Step 6: Final answer
    x = 378,283,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.