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Finding the Third Proportional to 312,638 and 484,401

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Solution

The third proportional to 312,638 and 484,401 is: 750,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638 : 484,401 = 484,401 : x
  2. Step 2: Convert to fraction form
    312,638/484,401 = 484,401/x
  3. Step 3: Cross multiply
    312,638x = 484,401 × 484,401
  4. Step 4: Simplify right side
    312,638x = 234,644,328,801
  5. Step 5: Solve for x
    x = 234,644,328,801/312,638
  6. Step 6: Final answer
    x = 750,530.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.