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Finding the Third Proportional to 376.42 and 430.52

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Solution

The third proportional to 376.42 and 430.52 is: 492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.42 : 430.52 = 430.52 : x
  2. Step 2: Convert to fraction form
    376.42/430.52 = 430.52/x
  3. Step 3: Cross multiply
    376.42x = 430.52 × 430.52
  4. Step 4: Simplify right side
    376.42x = 185,350.43
  5. Step 5: Solve for x
    x = 185,350.43/376.42
  6. Step 6: Final answer
    x = 492.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.