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Finding the Third Proportional to 383,691 and 843,522

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Solution

The third proportional to 383,691 and 843,522 is: 1,854,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,691 : 843,522 = 843,522 : x
  2. Step 2: Convert to fraction form
    383,691/843,522 = 843,522/x
  3. Step 3: Cross multiply
    383,691x = 843,522 × 843,522
  4. Step 4: Simplify right side
    383,691x = 711,529,364,484
  5. Step 5: Solve for x
    x = 711,529,364,484/383,691
  6. Step 6: Final answer
    x = 1,854,433.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.