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Finding the Third Proportional to 261.75 and 418.41

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Solution

The third proportional to 261.75 and 418.41 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.75 : 418.41 = 418.41 : x
  2. Step 2: Convert to fraction form
    261.75/418.41 = 418.41/x
  3. Step 3: Cross multiply
    261.75x = 418.41 × 418.41
  4. Step 4: Simplify right side
    261.75x = 175,063.79
  5. Step 5: Solve for x
    x = 175,063.79/261.75
  6. Step 6: Final answer
    x = 668.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.