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Finding the Third Proportional to 306,868.50 and 666,850.22

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Solution

The third proportional to 306,868.50 and 666,850.22 is: 1,449,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,868.50 : 666,850.22 = 666,850.22 : x
  2. Step 2: Convert to fraction form
    306,868.50/666,850.22 = 666,850.22/x
  3. Step 3: Cross multiply
    306,868.50x = 666,850.22 × 666,850.22
  4. Step 4: Simplify right side
    306,868.50x = 444,689,214,246.92
  5. Step 5: Solve for x
    x = 444,689,214,246.92/306,868.50
  6. Step 6: Final answer
    x = 1,449,119.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.