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Finding the Third Proportional to 81,915,057 and 175,986,531

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Solution

The third proportional to 81,915,057 and 175,986,531 is: 378,089,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,915,057 : 175,986,531 = 175,986,531 : x
  2. Step 2: Convert to fraction form
    81,915,057/175,986,531 = 175,986,531/x
  3. Step 3: Cross multiply
    81,915,057x = 175,986,531 × 175,986,531
  4. Step 4: Simplify right side
    81,915,057x = 30,971,259,093,413,960
  5. Step 5: Solve for x
    x = 30,971,259,093,413,960/81,915,057
  6. Step 6: Final answer
    x = 378,089,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.