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Finding the Third Proportional to 81,625,468.50 and 177,599,589

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Solution

The third proportional to 81,625,468.50 and 177,599,589 is: 386,418,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,625,468.50 : 177,599,589 = 177,599,589 : x
  2. Step 2: Convert to fraction form
    81,625,468.50/177,599,589 = 177,599,589/x
  3. Step 3: Cross multiply
    81,625,468.50x = 177,599,589 × 177,599,589
  4. Step 4: Simplify right side
    81,625,468.50x = 31,541,614,012,968,920
  5. Step 5: Solve for x
    x = 31,541,614,012,968,920/81,625,468.50
  6. Step 6: Final answer
    x = 386,418,780.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.