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Finding the Third Proportional to 393,541,067 and 861,218,515

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Solution

The third proportional to 393,541,067 and 861,218,515 is: 1,884,675,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,541,067 : 861,218,515 = 861,218,515 : x
  2. Step 2: Convert to fraction form
    393,541,067/861,218,515 = 861,218,515/x
  3. Step 3: Cross multiply
    393,541,067x = 861,218,515 × 861,218,515
  4. Step 4: Simplify right side
    393,541,067x = 741,697,330,578,805,248
  5. Step 5: Solve for x
    x = 741,697,330,578,805,248/393,541,067
  6. Step 6: Final answer
    x = 1,884,675,813.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.