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Finding the Third Proportional to 222,403,782 and 463,215,747

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Solution

The third proportional to 222,403,782 and 463,215,747 is: 964,771,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403,782 : 463,215,747 = 463,215,747 : x
  2. Step 2: Convert to fraction form
    222,403,782/463,215,747 = 463,215,747/x
  3. Step 3: Cross multiply
    222,403,782x = 463,215,747 × 463,215,747
  4. Step 4: Simplify right side
    222,403,782x = 214,568,828,268,768,000
  5. Step 5: Solve for x
    x = 214,568,828,268,768,000/222,403,782
  6. Step 6: Final answer
    x = 964,771,490.57

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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.