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Finding the Third Proportional to 133.72 and 288.80

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Solution

The third proportional to 133.72 and 288.80 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.72 : 288.80 = 288.80 : x
  2. Step 2: Convert to fraction form
    133.72/288.80 = 288.80/x
  3. Step 3: Cross multiply
    133.72x = 288.80 × 288.80
  4. Step 4: Simplify right side
    133.72x = 83,405.33
  5. Step 5: Solve for x
    x = 83,405.33/133.72
  6. Step 6: Final answer
    x = 623.73

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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.