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Finding the Third Proportional to 221,561,126 and 512,873,891

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Solution

The third proportional to 221,561,126 and 512,873,891 is: 1,187,210,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,561,126 : 512,873,891 = 512,873,891 : x
  2. Step 2: Convert to fraction form
    221,561,126/512,873,891 = 512,873,891/x
  3. Step 3: Cross multiply
    221,561,126x = 512,873,891 × 512,873,891
  4. Step 4: Simplify right side
    221,561,126x = 263,039,628,069,479,872
  5. Step 5: Solve for x
    x = 263,039,628,069,479,872/221,561,126
  6. Step 6: Final answer
    x = 1,187,210,197.11

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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.