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Finding the Third Proportional to 318,412 and 669,592

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Solution

The third proportional to 318,412 and 669,592 is: 1,408,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,412 : 669,592 = 669,592 : x
  2. Step 2: Convert to fraction form
    318,412/669,592 = 669,592/x
  3. Step 3: Cross multiply
    318,412x = 669,592 × 669,592
  4. Step 4: Simplify right side
    318,412x = 448,353,446,464
  5. Step 5: Solve for x
    x = 448,353,446,464/318,412
  6. Step 6: Final answer
    x = 1,408,092.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.