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Finding the Third Proportional to 180.67 and 285.40

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Solution

The third proportional to 180.67 and 285.40 is: 450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 285.40 = 285.40 : x
  2. Step 2: Convert to fraction form
    180.67/285.40 = 285.40/x
  3. Step 3: Cross multiply
    180.67x = 285.40 × 285.40
  4. Step 4: Simplify right side
    180.67x = 81,452.27
  5. Step 5: Solve for x
    x = 81,452.27/180.67
  6. Step 6: Final answer
    x = 450.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.