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Finding the Third Proportional to 618.75 and 947.38

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Solution

The third proportional to 618.75 and 947.38 is: 1,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.75 : 947.38 = 947.38 : x
  2. Step 2: Convert to fraction form
    618.75/947.38 = 947.38/x
  3. Step 3: Cross multiply
    618.75x = 947.38 × 947.38
  4. Step 4: Simplify right side
    618.75x = 897,519.39
  5. Step 5: Solve for x
    x = 897,519.39/618.75
  6. Step 6: Final answer
    x = 1,450.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.