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Finding the Third Proportional to 376.69 and 482.81

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Solution

The third proportional to 376.69 and 482.81 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 482.81 = 482.81 : x
  2. Step 2: Convert to fraction form
    376.69/482.81 = 482.81/x
  3. Step 3: Cross multiply
    376.69x = 482.81 × 482.81
  4. Step 4: Simplify right side
    376.69x = 233,107.91
  5. Step 5: Solve for x
    x = 233,107.91/376.69
  6. Step 6: Final answer
    x = 618.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.