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Finding the Third Proportional to 180.35 and 287.09

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Solution

The third proportional to 180.35 and 287.09 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 287.09 = 287.09 : x
  2. Step 2: Convert to fraction form
    180.35/287.09 = 287.09/x
  3. Step 3: Cross multiply
    180.35x = 287.09 × 287.09
  4. Step 4: Simplify right side
    180.35x = 82,418.34
  5. Step 5: Solve for x
    x = 82,418.34/180.35
  6. Step 6: Final answer
    x = 456.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.