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Finding the Third Proportional to 383,315 and 815,797

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Solution

The third proportional to 383,315 and 815,797 is: 1,736,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,315 : 815,797 = 815,797 : x
  2. Step 2: Convert to fraction form
    383,315/815,797 = 815,797/x
  3. Step 3: Cross multiply
    383,315x = 815,797 × 815,797
  4. Step 4: Simplify right side
    383,315x = 665,524,745,209
  5. Step 5: Solve for x
    x = 665,524,745,209/383,315
  6. Step 6: Final answer
    x = 1,736,234.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.