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Finding the Third Proportional to 596.44 and 931.03

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Solution

The third proportional to 596.44 and 931.03 is: 1,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 931.03 = 931.03 : x
  2. Step 2: Convert to fraction form
    596.44/931.03 = 931.03/x
  3. Step 3: Cross multiply
    596.44x = 931.03 × 931.03
  4. Step 4: Simplify right side
    596.44x = 866,819.19
  5. Step 5: Solve for x
    x = 866,819.19/596.44
  6. Step 6: Final answer
    x = 1,453.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.