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Finding the Third Proportional to 158,839,089,142.50 and 340,338,659,832

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Solution

The third proportional to 158,839,089,142.50 and 340,338,659,832 is: 729,231,097,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,839,089,142.50 : 340,338,659,832 = 340,338,659,832 : x
  2. Step 2: Convert to fraction form
    158,839,089,142.50/340,338,659,832 = 340,338,659,832/x
  3. Step 3: Cross multiply
    158,839,089,142.50x = 340,338,659,832 × 340,338,659,832
  4. Step 4: Simplify right side
    158,839,089,142.50x = 115,830,403,376,241,809,817,600
  5. Step 5: Solve for x
    x = 115,830,403,376,241,809,817,600/158,839,089,142.50
  6. Step 6: Final answer
    x = 729,231,097,971.90

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