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Finding the Third Proportional to 233.75 and 566.38

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Solution

The third proportional to 233.75 and 566.38 is: 1,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.75 : 566.38 = 566.38 : x
  2. Step 2: Convert to fraction form
    233.75/566.38 = 566.38/x
  3. Step 3: Cross multiply
    233.75x = 566.38 × 566.38
  4. Step 4: Simplify right side
    233.75x = 320,780.64
  5. Step 5: Solve for x
    x = 320,780.64/233.75
  6. Step 6: Final answer
    x = 1,372.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.