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Finding the Third Proportional to 384.43 and 551.02

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Solution

The third proportional to 384.43 and 551.02 is: 789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 551.02 = 551.02 : x
  2. Step 2: Convert to fraction form
    384.43/551.02 = 551.02/x
  3. Step 3: Cross multiply
    384.43x = 551.02 × 551.02
  4. Step 4: Simplify right side
    384.43x = 303,624.68
  5. Step 5: Solve for x
    x = 303,624.68/384.43
  6. Step 6: Final answer
    x = 789.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.