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Finding the Third Proportional to 118.38 and 253.75

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Solution

The third proportional to 118.38 and 253.75 is: 543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 253.75 = 253.75 : x
  2. Step 2: Convert to fraction form
    118.38/253.75 = 253.75/x
  3. Step 3: Cross multiply
    118.38x = 253.75 × 253.75
  4. Step 4: Simplify right side
    118.38x = 64,389.06
  5. Step 5: Solve for x
    x = 64,389.06/118.38
  6. Step 6: Final answer
    x = 543.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.