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Finding the Third Proportional to 306,802 and 659,144

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Solution

The third proportional to 306,802 and 659,144 is: 1,416,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,802 : 659,144 = 659,144 : x
  2. Step 2: Convert to fraction form
    306,802/659,144 = 659,144/x
  3. Step 3: Cross multiply
    306,802x = 659,144 × 659,144
  4. Step 4: Simplify right side
    306,802x = 434,470,812,736
  5. Step 5: Solve for x
    x = 434,470,812,736/306,802
  6. Step 6: Final answer
    x = 1,416,127.71

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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.