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Finding the Third Proportional to 158,839,089,668 and 340,338,660,796

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Solution

The third proportional to 158,839,089,668 and 340,338,660,796 is: 729,231,099,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,839,089,668 : 340,338,660,796 = 340,338,660,796 : x
  2. Step 2: Convert to fraction form
    158,839,089,668/340,338,660,796 = 340,338,660,796/x
  3. Step 3: Cross multiply
    158,839,089,668x = 340,338,660,796 × 340,338,660,796
  4. Step 4: Simplify right side
    158,839,089,668x = 115,830,404,032,414,749,818,880
  5. Step 5: Solve for x
    x = 115,830,404,032,414,749,818,880/158,839,089,668
  6. Step 6: Final answer
    x = 729,231,099,690.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.