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Finding the Third Proportional to 306,780 and 667,536

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Solution

The third proportional to 306,780 and 667,536 is: 1,452,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,780 : 667,536 = 667,536 : x
  2. Step 2: Convert to fraction form
    306,780/667,536 = 667,536/x
  3. Step 3: Cross multiply
    306,780x = 667,536 × 667,536
  4. Step 4: Simplify right side
    306,780x = 445,604,311,296
  5. Step 5: Solve for x
    x = 445,604,311,296/306,780
  6. Step 6: Final answer
    x = 1,452,520.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.