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Finding the Third Proportional to 618.81 and 925.09

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Solution

The third proportional to 618.81 and 925.09 is: 1,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.81 : 925.09 = 925.09 : x
  2. Step 2: Convert to fraction form
    618.81/925.09 = 925.09/x
  3. Step 3: Cross multiply
    618.81x = 925.09 × 925.09
  4. Step 4: Simplify right side
    618.81x = 855,796.64
  5. Step 5: Solve for x
    x = 855,796.64/618.81
  6. Step 6: Final answer
    x = 1,382.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.