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Finding the Third Proportional to 306,067.50 and 666,343.50

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Solution

The third proportional to 306,067.50 and 666,343.50 is: 1,450,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,067.50 : 666,343.50 = 666,343.50 : x
  2. Step 2: Convert to fraction form
    306,067.50/666,343.50 = 666,343.50/x
  3. Step 3: Cross multiply
    306,067.50x = 666,343.50 × 666,343.50
  4. Step 4: Simplify right side
    306,067.50x = 444,013,659,992.25
  5. Step 5: Solve for x
    x = 444,013,659,992.25/306,067.50
  6. Step 6: Final answer
    x = 1,450,705.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.