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Finding the Third Proportional to 483 and 516

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Solution

The third proportional to 483 and 516 is: 551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483 : 516 = 516 : x
  2. Step 2: Convert to fraction form
    483/516 = 516/x
  3. Step 3: Cross multiply
    483x = 516 × 516
  4. Step 4: Simplify right side
    483x = 266,256
  5. Step 5: Solve for x
    x = 266,256/483
  6. Step 6: Final answer
    x = 551.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.