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Finding the Third Proportional to 222,403,506 and 463,215,218

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Solution

The third proportional to 222,403,506 and 463,215,218 is: 964,770,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403,506 : 463,215,218 = 463,215,218 : x
  2. Step 2: Convert to fraction form
    222,403,506/463,215,218 = 463,215,218/x
  3. Step 3: Cross multiply
    222,403,506x = 463,215,218 × 463,215,218
  4. Step 4: Simplify right side
    222,403,506x = 214,568,338,186,787,520
  5. Step 5: Solve for x
    x = 214,568,338,186,787,520/222,403,506
  6. Step 6: Final answer
    x = 964,770,484.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.