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Finding the Third Proportional to 386.57 and 551.02

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Solution

The third proportional to 386.57 and 551.02 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 551.02 = 551.02 : x
  2. Step 2: Convert to fraction form
    386.57/551.02 = 551.02/x
  3. Step 3: Cross multiply
    386.57x = 551.02 × 551.02
  4. Step 4: Simplify right side
    386.57x = 303,624.68
  5. Step 5: Solve for x
    x = 303,624.68/386.57
  6. Step 6: Final answer
    x = 785.43

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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.