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Finding the Third Proportional to 762.75 and 1,757.53

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Solution

The third proportional to 762.75 and 1,757.53 is: 4,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,757.53 = 1,757.53 : x
  2. Step 2: Convert to fraction form
    762.75/1,757.53 = 1,757.53/x
  3. Step 3: Cross multiply
    762.75x = 1,757.53 × 1,757.53
  4. Step 4: Simplify right side
    762.75x = 3,088,916.09
  5. Step 5: Solve for x
    x = 3,088,916.09/762.75
  6. Step 6: Final answer
    x = 4,049.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.