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Finding the Third Proportional to 261.38 and 381.56

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Solution

The third proportional to 261.38 and 381.56 is: 557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 381.56 = 381.56 : x
  2. Step 2: Convert to fraction form
    261.38/381.56 = 381.56/x
  3. Step 3: Cross multiply
    261.38x = 381.56 × 381.56
  4. Step 4: Simplify right side
    261.38x = 145,589.94
  5. Step 5: Solve for x
    x = 145,589.94/261.38
  6. Step 6: Final answer
    x = 557.02

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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.