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Finding the Third Proportional to 160,395,040,926 and 339,912,915,051.22

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Solution

The third proportional to 160,395,040,926 and 339,912,915,051.22 is: 720,351,384,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,395,040,926 : 339,912,915,051.22 = 339,912,915,051.22 : x
  2. Step 2: Convert to fraction form
    160,395,040,926/339,912,915,051.22 = 339,912,915,051.22/x
  3. Step 3: Cross multiply
    160,395,040,926x = 339,912,915,051.22 × 339,912,915,051.22
  4. Step 4: Simplify right side
    160,395,040,926x = 115,540,789,818,617,887,719,424
  5. Step 5: Solve for x
    x = 115,540,789,818,617,887,719,424/160,395,040,926
  6. Step 6: Final answer
    x = 720,351,384,628.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.