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Finding the Third Proportional to 384.43 and 817.28

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Solution

The third proportional to 384.43 and 817.28 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 817.28 = 817.28 : x
  2. Step 2: Convert to fraction form
    384.43/817.28 = 817.28/x
  3. Step 3: Cross multiply
    384.43x = 817.28 × 817.28
  4. Step 4: Simplify right side
    384.43x = 667,942.26
  5. Step 5: Solve for x
    x = 667,942.26/384.43
  6. Step 6: Final answer
    x = 1,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.