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Finding the Third Proportional to 411,472 and 641,268

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Solution

The third proportional to 411,472 and 641,268 is: 999,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,472 : 641,268 = 641,268 : x
  2. Step 2: Convert to fraction form
    411,472/641,268 = 641,268/x
  3. Step 3: Cross multiply
    411,472x = 641,268 × 641,268
  4. Step 4: Simplify right side
    411,472x = 411,224,647,824
  5. Step 5: Solve for x
    x = 411,224,647,824/411,472
  6. Step 6: Final answer
    x = 999,398.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.