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Finding the Third Proportional to 318,405 and 669,633

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Solution

The third proportional to 318,405 and 669,633 is: 1,408,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,405 : 669,633 = 669,633 : x
  2. Step 2: Convert to fraction form
    318,405/669,633 = 669,633/x
  3. Step 3: Cross multiply
    318,405x = 669,633 × 669,633
  4. Step 4: Simplify right side
    318,405x = 448,408,354,689
  5. Step 5: Solve for x
    x = 448,408,354,689/318,405
  6. Step 6: Final answer
    x = 1,408,295.58

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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.