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Finding the Third Proportional to 211,243,839 and 323,139,237

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Solution

The third proportional to 211,243,839 and 323,139,237 is: 494,305,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243,839 : 323,139,237 = 323,139,237 : x
  2. Step 2: Convert to fraction form
    211,243,839/323,139,237 = 323,139,237/x
  3. Step 3: Cross multiply
    211,243,839x = 323,139,237 × 323,139,237
  4. Step 4: Simplify right side
    211,243,839x = 104,418,966,488,942,176
  5. Step 5: Solve for x
    x = 104,418,966,488,942,176/211,243,839
  6. Step 6: Final answer
    x = 494,305,381.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.