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Finding the Third Proportional to 69,670,622 and 147,647,272

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Solution

The third proportional to 69,670,622 and 147,647,272 is: 312,896,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,670,622 : 147,647,272 = 147,647,272 : x
  2. Step 2: Convert to fraction form
    69,670,622/147,647,272 = 147,647,272/x
  3. Step 3: Cross multiply
    69,670,622x = 147,647,272 × 147,647,272
  4. Step 4: Simplify right side
    69,670,622x = 21,799,716,929,041,984
  5. Step 5: Solve for x
    x = 21,799,716,929,041,984/69,670,622
  6. Step 6: Final answer
    x = 312,896,832.31

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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.