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Finding the Third Proportional to 378,328 and 812,408

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Solution

The third proportional to 378,328 and 812,408 is: 1,744,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,328 : 812,408 = 812,408 : x
  2. Step 2: Convert to fraction form
    378,328/812,408 = 812,408/x
  3. Step 3: Cross multiply
    378,328x = 812,408 × 812,408
  4. Step 4: Simplify right side
    378,328x = 660,006,758,464
  5. Step 5: Solve for x
    x = 660,006,758,464/378,328
  6. Step 6: Final answer
    x = 1,744,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.