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Finding the Third Proportional to 211,397,076 and 323,413,857

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Solution

The third proportional to 211,397,076 and 323,413,857 is: 494,786,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,076 : 323,413,857 = 323,413,857 : x
  2. Step 2: Convert to fraction form
    211,397,076/323,413,857 = 323,413,857/x
  3. Step 3: Cross multiply
    211,397,076x = 323,413,857 × 323,413,857
  4. Step 4: Simplify right side
    211,397,076x = 104,596,522,899,616,448
  5. Step 5: Solve for x
    x = 104,596,522,899,616,448/211,397,076
  6. Step 6: Final answer
    x = 494,786,989.86

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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.