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Finding the Third Proportional to 220,380,936 and 480,442,856

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Solution

The third proportional to 220,380,936 and 480,442,856 is: 1,047,392,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,380,936 : 480,442,856 = 480,442,856 : x
  2. Step 2: Convert to fraction form
    220,380,936/480,442,856 = 480,442,856/x
  3. Step 3: Cross multiply
    220,380,936x = 480,442,856 × 480,442,856
  4. Step 4: Simplify right side
    220,380,936x = 230,825,337,881,436,736
  5. Step 5: Solve for x
    x = 230,825,337,881,436,736/220,380,936
  6. Step 6: Final answer
    x = 1,047,392,492.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.