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Finding the Third Proportional to 306,833.06 and 669,429.56

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Solution

The third proportional to 306,833.06 and 669,429.56 is: 1,460,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,833.06 : 669,429.56 = 669,429.56 : x
  2. Step 2: Convert to fraction form
    306,833.06/669,429.56 = 669,429.56/x
  3. Step 3: Cross multiply
    306,833.06x = 669,429.56 × 669,429.56
  4. Step 4: Simplify right side
    306,833.06x = 448,135,939,148.94
  5. Step 5: Solve for x
    x = 448,135,939,148.94/306,833.06
  6. Step 6: Final answer
    x = 1,460,520.37

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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.