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Finding the Third Proportional to 361.76 and 493.07

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Solution

The third proportional to 361.76 and 493.07 is: 672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 493.07 = 493.07 : x
  2. Step 2: Convert to fraction form
    361.76/493.07 = 493.07/x
  3. Step 3: Cross multiply
    361.76x = 493.07 × 493.07
  4. Step 4: Simplify right side
    361.76x = 243,114.48
  5. Step 5: Solve for x
    x = 243,114.48/361.76
  6. Step 6: Final answer
    x = 672.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.