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Finding the Third Proportional to 69,670,620 and 147,647,268

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Solution

The third proportional to 69,670,620 and 147,647,268 is: 312,896,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,670,620 : 147,647,268 = 147,647,268 : x
  2. Step 2: Convert to fraction form
    69,670,620/147,647,268 = 147,647,268/x
  3. Step 3: Cross multiply
    69,670,620x = 147,647,268 × 147,647,268
  4. Step 4: Simplify right side
    69,670,620x = 21,799,715,747,863,824
  5. Step 5: Solve for x
    x = 21,799,715,747,863,824/69,670,620
  6. Step 6: Final answer
    x = 312,896,824.34

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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.