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Finding the Third Proportional to 411,476 and 641,272

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Solution

The third proportional to 411,476 and 641,272 is: 999,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,476 : 641,272 = 641,272 : x
  2. Step 2: Convert to fraction form
    411,476/641,272 = 641,272/x
  3. Step 3: Cross multiply
    411,476x = 641,272 × 641,272
  4. Step 4: Simplify right side
    411,476x = 411,229,777,984
  5. Step 5: Solve for x
    x = 411,229,777,984/411,476
  6. Step 6: Final answer
    x = 999,401.61

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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.