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Finding the Third Proportional to 306,067 and 666,342

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Solution

The third proportional to 306,067 and 666,342 is: 1,450,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,067 : 666,342 = 666,342 : x
  2. Step 2: Convert to fraction form
    306,067/666,342 = 666,342/x
  3. Step 3: Cross multiply
    306,067x = 666,342 × 666,342
  4. Step 4: Simplify right side
    306,067x = 444,011,660,964
  5. Step 5: Solve for x
    x = 444,011,660,964/306,067
  6. Step 6: Final answer
    x = 1,450,700.86

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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.