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Finding the Third Proportional to 394.56 and 434.74

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Solution

The third proportional to 394.56 and 434.74 is: 479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 434.74 = 434.74 : x
  2. Step 2: Convert to fraction form
    394.56/434.74 = 434.74/x
  3. Step 3: Cross multiply
    394.56x = 434.74 × 434.74
  4. Step 4: Simplify right side
    394.56x = 189,000.77
  5. Step 5: Solve for x
    x = 189,000.77/394.56
  6. Step 6: Final answer
    x = 479.02

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.