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Finding the Third Proportional to 318,408 and 669,584

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Solution

The third proportional to 318,408 and 669,584 is: 1,408,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,408 : 669,584 = 669,584 : x
  2. Step 2: Convert to fraction form
    318,408/669,584 = 669,584/x
  3. Step 3: Cross multiply
    318,408x = 669,584 × 669,584
  4. Step 4: Simplify right side
    318,408x = 448,342,733,056
  5. Step 5: Solve for x
    x = 448,342,733,056/318,408
  6. Step 6: Final answer
    x = 1,408,076.22

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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.