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Finding the Third Proportional to 389,074 and 836,277

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Solution

The third proportional to 389,074 and 836,277 is: 1,797,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,074 : 836,277 = 836,277 : x
  2. Step 2: Convert to fraction form
    389,074/836,277 = 836,277/x
  3. Step 3: Cross multiply
    389,074x = 836,277 × 836,277
  4. Step 4: Simplify right side
    389,074x = 699,359,220,729
  5. Step 5: Solve for x
    x = 699,359,220,729/389,074
  6. Step 6: Final answer
    x = 1,797,496.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.