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Finding the Third Proportional to 403.80 and 872.09

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Solution

The third proportional to 403.80 and 872.09 is: 1,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 872.09 = 872.09 : x
  2. Step 2: Convert to fraction form
    403.80/872.09 = 872.09/x
  3. Step 3: Cross multiply
    403.80x = 872.09 × 872.09
  4. Step 4: Simplify right side
    403.80x = 760,533.88
  5. Step 5: Solve for x
    x = 760,533.88/403.80
  6. Step 6: Final answer
    x = 1,883.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.