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Finding the Third Proportional to 410,344 and 641,436

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Solution

The third proportional to 410,344 and 641,436 is: 1,002,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344 : 641,436 = 641,436 : x
  2. Step 2: Convert to fraction form
    410,344/641,436 = 641,436/x
  3. Step 3: Cross multiply
    410,344x = 641,436 × 641,436
  4. Step 4: Simplify right side
    410,344x = 411,440,142,096
  5. Step 5: Solve for x
    x = 411,440,142,096/410,344
  6. Step 6: Final answer
    x = 1,002,671.28

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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.