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Finding the Third Proportional to 233.15 and 257.36

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Solution

The third proportional to 233.15 and 257.36 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 257.36 = 257.36 : x
  2. Step 2: Convert to fraction form
    233.15/257.36 = 257.36/x
  3. Step 3: Cross multiply
    233.15x = 257.36 × 257.36
  4. Step 4: Simplify right side
    233.15x = 66,232.59
  5. Step 5: Solve for x
    x = 66,232.59/233.15
  6. Step 6: Final answer
    x = 284.07

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.