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Finding the Third Proportional to 211,647,387 and 455,729,280

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Solution

The third proportional to 211,647,387 and 455,729,280 is: 981,298,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647,387 : 455,729,280 = 455,729,280 : x
  2. Step 2: Convert to fraction form
    211,647,387/455,729,280 = 455,729,280/x
  3. Step 3: Cross multiply
    211,647,387x = 455,729,280 × 455,729,280
  4. Step 4: Simplify right side
    211,647,387x = 207,689,176,649,318,400
  5. Step 5: Solve for x
    x = 207,689,176,649,318,400/211,647,387
  6. Step 6: Final answer
    x = 981,298,090.15

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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.