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Finding the Third Proportional to 180.75 and 290.91

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Solution

The third proportional to 180.75 and 290.91 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 290.91 = 290.91 : x
  2. Step 2: Convert to fraction form
    180.75/290.91 = 290.91/x
  3. Step 3: Cross multiply
    180.75x = 290.91 × 290.91
  4. Step 4: Simplify right side
    180.75x = 84,626.45
  5. Step 5: Solve for x
    x = 84,626.45/180.75
  6. Step 6: Final answer
    x = 468.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.