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Finding the Third Proportional to 221,561,100 and 512,873,853.75

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Solution

The third proportional to 221,561,100 and 512,873,853.75 is: 1,187,210,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,561,100 : 512,873,853.75 = 512,873,853.75 : x
  2. Step 2: Convert to fraction form
    221,561,100/512,873,853.75 = 512,873,853.75/x
  3. Step 3: Cross multiply
    221,561,100x = 512,873,853.75 × 512,873,853.75
  4. Step 4: Simplify right side
    221,561,100x = 263,039,589,860,376,384
  5. Step 5: Solve for x
    x = 263,039,589,860,376,384/221,561,100
  6. Step 6: Final answer
    x = 1,187,210,163.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.