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Finding the Third Proportional to 238.38 and 505.25

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Solution

The third proportional to 238.38 and 505.25 is: 1,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.38 : 505.25 = 505.25 : x
  2. Step 2: Convert to fraction form
    238.38/505.25 = 505.25/x
  3. Step 3: Cross multiply
    238.38x = 505.25 × 505.25
  4. Step 4: Simplify right side
    238.38x = 255,277.56
  5. Step 5: Solve for x
    x = 255,277.56/238.38
  6. Step 6: Final answer
    x = 1,070.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.