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Finding the Third Proportional to 426,497 and 641,477

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Solution

The third proportional to 426,497 and 641,477 is: 964,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,497 : 641,477 = 641,477 : x
  2. Step 2: Convert to fraction form
    426,497/641,477 = 641,477/x
  3. Step 3: Cross multiply
    426,497x = 641,477 × 641,477
  4. Step 4: Simplify right side
    426,497x = 411,492,741,529
  5. Step 5: Solve for x
    x = 411,492,741,529/426,497
  6. Step 6: Final answer
    x = 964,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.