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Finding the Third Proportional to 81,840,329 and 177,302,509

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Solution

The third proportional to 81,840,329 and 177,302,509 is: 384,115,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,329 : 177,302,509 = 177,302,509 : x
  2. Step 2: Convert to fraction form
    81,840,329/177,302,509 = 177,302,509/x
  3. Step 3: Cross multiply
    81,840,329x = 177,302,509 × 177,302,509
  4. Step 4: Simplify right side
    81,840,329x = 31,436,179,697,695,080
  5. Step 5: Solve for x
    x = 31,436,179,697,695,080/81,840,329
  6. Step 6: Final answer
    x = 384,115,998.58

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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.