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Finding the Third Proportional to 119.53 and 253.49

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Solution

The third proportional to 119.53 and 253.49 is: 537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 253.49 = 253.49 : x
  2. Step 2: Convert to fraction form
    119.53/253.49 = 253.49/x
  3. Step 3: Cross multiply
    119.53x = 253.49 × 253.49
  4. Step 4: Simplify right side
    119.53x = 64,255.10
  5. Step 5: Solve for x
    x = 64,255.10/119.53
  6. Step 6: Final answer
    x = 537.54

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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.