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Finding the Third Proportional to 306,676 and 660,008

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Solution

The third proportional to 306,676 and 660,008 is: 1,420,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,676 : 660,008 = 660,008 : x
  2. Step 2: Convert to fraction form
    306,676/660,008 = 660,008/x
  3. Step 3: Cross multiply
    306,676x = 660,008 × 660,008
  4. Step 4: Simplify right side
    306,676x = 435,610,560,064
  5. Step 5: Solve for x
    x = 435,610,560,064/306,676
  6. Step 6: Final answer
    x = 1,420,425.99

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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.