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Finding the Third Proportional to 305,676 and 670,404

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Solution

The third proportional to 305,676 and 670,404 is: 1,470,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,676 : 670,404 = 670,404 : x
  2. Step 2: Convert to fraction form
    305,676/670,404 = 670,404/x
  3. Step 3: Cross multiply
    305,676x = 670,404 × 670,404
  4. Step 4: Simplify right side
    305,676x = 449,441,523,216
  5. Step 5: Solve for x
    x = 449,441,523,216/305,676
  6. Step 6: Final answer
    x = 1,470,319.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.