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Finding the Third Proportional to 307,237.50 and 626,676.75

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Solution

The third proportional to 307,237.50 and 626,676.75 is: 1,278,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,237.50 : 626,676.75 = 626,676.75 : x
  2. Step 2: Convert to fraction form
    307,237.50/626,676.75 = 626,676.75/x
  3. Step 3: Cross multiply
    307,237.50x = 626,676.75 × 626,676.75
  4. Step 4: Simplify right side
    307,237.50x = 392,723,748,990.56
  5. Step 5: Solve for x
    x = 392,723,748,990.56/307,237.50
  6. Step 6: Final answer
    x = 1,278,241.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.