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Finding the Third Proportional to 211,647,367 and 455,729,240

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Solution

The third proportional to 211,647,367 and 455,729,240 is: 981,298,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647,367 : 455,729,240 = 455,729,240 : x
  2. Step 2: Convert to fraction form
    211,647,367/455,729,240 = 455,729,240/x
  3. Step 3: Cross multiply
    211,647,367x = 455,729,240 × 455,729,240
  4. Step 4: Simplify right side
    211,647,367x = 207,689,140,190,977,600
  5. Step 5: Solve for x
    x = 207,689,140,190,977,600/211,647,367
  6. Step 6: Final answer
    x = 981,298,010.62

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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.