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Finding the Third Proportional to 361.76 and 470.39

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Solution

The third proportional to 361.76 and 470.39 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 470.39 = 470.39 : x
  2. Step 2: Convert to fraction form
    361.76/470.39 = 470.39/x
  3. Step 3: Cross multiply
    361.76x = 470.39 × 470.39
  4. Step 4: Simplify right side
    361.76x = 221,267.34
  5. Step 5: Solve for x
    x = 221,267.34/361.76
  6. Step 6: Final answer
    x = 611.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.