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Finding the Third Proportional to 401.81 and 879.94

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Solution

The third proportional to 401.81 and 879.94 is: 1,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.81 : 879.94 = 879.94 : x
  2. Step 2: Convert to fraction form
    401.81/879.94 = 879.94/x
  3. Step 3: Cross multiply
    401.81x = 879.94 × 879.94
  4. Step 4: Simplify right side
    401.81x = 774,290.00
  5. Step 5: Solve for x
    x = 774,290.00/401.81
  6. Step 6: Final answer
    x = 1,926.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.