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Finding the Third Proportional to 1,080,102,198 and 2,356,454,580

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Solution

The third proportional to 1,080,102,198 and 2,356,454,580 is: 5,141,067,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,102,198 : 2,356,454,580 = 2,356,454,580 : x
  2. Step 2: Convert to fraction form
    1,080,102,198/2,356,454,580 = 2,356,454,580/x
  3. Step 3: Cross multiply
    1,080,102,198x = 2,356,454,580 × 2,356,454,580
  4. Step 4: Simplify right side
    1,080,102,198x = 5,552,878,187,602,976,768
  5. Step 5: Solve for x
    x = 5,552,878,187,602,976,768/1,080,102,198
  6. Step 6: Final answer
    x = 5,141,067,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.