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Finding the Third Proportional to 204,413,063,382 and 447,295,546,431

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Solution

The third proportional to 204,413,063,382 and 447,295,546,431 is: 978,769,666,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413,063,382 : 447,295,546,431 = 447,295,546,431 : x
  2. Step 2: Convert to fraction form
    204,413,063,382/447,295,546,431 = 447,295,546,431/x
  3. Step 3: Cross multiply
    204,413,063,382x = 447,295,546,431 × 447,295,546,431
  4. Step 4: Simplify right side
    204,413,063,382x = 200,073,305,857,006,885,666,816
  5. Step 5: Solve for x
    x = 200,073,305,857,006,885,666,816/204,413,063,382
  6. Step 6: Final answer
    x = 978,769,666,413.72

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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.