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Finding the Third Proportional to 211,647,389 and 455,729,284

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Solution

The third proportional to 211,647,389 and 455,729,284 is: 981,298,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647,389 : 455,729,284 = 455,729,284 : x
  2. Step 2: Convert to fraction form
    211,647,389/455,729,284 = 455,729,284/x
  3. Step 3: Cross multiply
    211,647,389x = 455,729,284 × 455,729,284
  4. Step 4: Simplify right side
    211,647,389x = 207,689,180,295,152,640
  5. Step 5: Solve for x
    x = 207,689,180,295,152,640/211,647,389
  6. Step 6: Final answer
    x = 981,298,098.11

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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.