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Finding the Third Proportional to 255.94 and 374.91

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Solution

The third proportional to 255.94 and 374.91 is: 549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 374.91 = 374.91 : x
  2. Step 2: Convert to fraction form
    255.94/374.91 = 374.91/x
  3. Step 3: Cross multiply
    255.94x = 374.91 × 374.91
  4. Step 4: Simplify right side
    255.94x = 140,554.70
  5. Step 5: Solve for x
    x = 140,554.70/255.94
  6. Step 6: Final answer
    x = 549.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.