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Finding the Third Proportional to 823,511,496 and 1,810,254,844

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Solution

The third proportional to 823,511,496 and 1,810,254,844 is: 3,979,328,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,511,496 : 1,810,254,844 = 1,810,254,844 : x
  2. Step 2: Convert to fraction form
    823,511,496/1,810,254,844 = 1,810,254,844/x
  3. Step 3: Cross multiply
    823,511,496x = 1,810,254,844 × 1,810,254,844
  4. Step 4: Simplify right side
    823,511,496x = 3,277,022,600,225,464,320
  5. Step 5: Solve for x
    x = 3,277,022,600,225,464,320/823,511,496
  6. Step 6: Final answer
    x = 3,979,328,298.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.