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Finding the Third Proportional to 383,313 and 815,793

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Solution

The third proportional to 383,313 and 815,793 is: 1,736,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,313 : 815,793 = 815,793 : x
  2. Step 2: Convert to fraction form
    383,313/815,793 = 815,793/x
  3. Step 3: Cross multiply
    383,313x = 815,793 × 815,793
  4. Step 4: Simplify right side
    383,313x = 665,518,218,849
  5. Step 5: Solve for x
    x = 665,518,218,849/383,313
  6. Step 6: Final answer
    x = 1,736,226.58

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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.