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Finding the Third Proportional to 393,846 and 611,019

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Solution

The third proportional to 393,846 and 611,019 is: 947,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,846 : 611,019 = 611,019 : x
  2. Step 2: Convert to fraction form
    393,846/611,019 = 611,019/x
  3. Step 3: Cross multiply
    393,846x = 611,019 × 611,019
  4. Step 4: Simplify right side
    393,846x = 373,344,218,361
  5. Step 5: Solve for x
    x = 373,344,218,361/393,846
  6. Step 6: Final answer
    x = 947,944.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.