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Finding the Third Proportional to 328,638 and 469,626

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Solution

The third proportional to 328,638 and 469,626 is: 671,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,638 : 469,626 = 469,626 : x
  2. Step 2: Convert to fraction form
    328,638/469,626 = 469,626/x
  3. Step 3: Cross multiply
    328,638x = 469,626 × 469,626
  4. Step 4: Simplify right side
    328,638x = 220,548,579,876
  5. Step 5: Solve for x
    x = 220,548,579,876/328,638
  6. Step 6: Final answer
    x = 671,098.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.