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Finding the Third Proportional to 222,271,995,920 and 476,810,403,872

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Solution

The third proportional to 222,271,995,920 and 476,810,403,872 is: 1,022,837,628,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,271,995,920 : 476,810,403,872 = 476,810,403,872 : x
  2. Step 2: Convert to fraction form
    222,271,995,920/476,810,403,872 = 476,810,403,872/x
  3. Step 3: Cross multiply
    222,271,995,920x = 476,810,403,872 × 476,810,403,872
  4. Step 4: Simplify right side
    222,271,995,920x = 227,348,161,240,579,763,601,408
  5. Step 5: Solve for x
    x = 227,348,161,240,579,763,601,408/222,271,995,920
  6. Step 6: Final answer
    x = 1,022,837,628,733.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.