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Finding the Third Proportional to 180.35 and 279.07

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Solution

The third proportional to 180.35 and 279.07 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 279.07 = 279.07 : x
  2. Step 2: Convert to fraction form
    180.35/279.07 = 279.07/x
  3. Step 3: Cross multiply
    180.35x = 279.07 × 279.07
  4. Step 4: Simplify right side
    180.35x = 77,880.24
  5. Step 5: Solve for x
    x = 77,880.24/180.35
  6. Step 6: Final answer
    x = 431.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.