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Finding the Third Proportional to 309,381,016 and 447,418,896

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Solution

The third proportional to 309,381,016 and 447,418,896 is: 647,045,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,381,016 : 447,418,896 = 447,418,896 : x
  2. Step 2: Convert to fraction form
    309,381,016/447,418,896 = 447,418,896/x
  3. Step 3: Cross multiply
    309,381,016x = 447,418,896 × 447,418,896
  4. Step 4: Simplify right side
    309,381,016x = 200,183,668,497,858,816
  5. Step 5: Solve for x
    x = 200,183,668,497,858,816/309,381,016
  6. Step 6: Final answer
    x = 647,045,740.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.