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Finding the Third Proportional to 382,956 and 818,040

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Solution

The third proportional to 382,956 and 818,040 is: 1,747,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,956 : 818,040 = 818,040 : x
  2. Step 2: Convert to fraction form
    382,956/818,040 = 818,040/x
  3. Step 3: Cross multiply
    382,956x = 818,040 × 818,040
  4. Step 4: Simplify right side
    382,956x = 669,189,441,600
  5. Step 5: Solve for x
    x = 669,189,441,600/382,956
  6. Step 6: Final answer
    x = 1,747,431.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.