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Finding the Third Proportional to 306,678 and 660,012

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Solution

The third proportional to 306,678 and 660,012 is: 1,420,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,678 : 660,012 = 660,012 : x
  2. Step 2: Convert to fraction form
    306,678/660,012 = 660,012/x
  3. Step 3: Cross multiply
    306,678x = 660,012 × 660,012
  4. Step 4: Simplify right side
    306,678x = 435,615,840,144
  5. Step 5: Solve for x
    x = 435,615,840,144/306,678
  6. Step 6: Final answer
    x = 1,420,433.94

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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.