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Finding the Third Proportional to 401.44 and 869.44

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Solution

The third proportional to 401.44 and 869.44 is: 1,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 869.44 = 869.44 : x
  2. Step 2: Convert to fraction form
    401.44/869.44 = 869.44/x
  3. Step 3: Cross multiply
    401.44x = 869.44 × 869.44
  4. Step 4: Simplify right side
    401.44x = 755,921.57
  5. Step 5: Solve for x
    x = 755,921.57/401.44
  6. Step 6: Final answer
    x = 1,883.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.