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Finding the Third Proportional to 171.98 and 282.80

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Solution

The third proportional to 171.98 and 282.80 is: 465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.98 : 282.80 = 282.80 : x
  2. Step 2: Convert to fraction form
    171.98/282.80 = 282.80/x
  3. Step 3: Cross multiply
    171.98x = 282.80 × 282.80
  4. Step 4: Simplify right side
    171.98x = 79,974.07
  5. Step 5: Solve for x
    x = 79,974.07/171.98
  6. Step 6: Final answer
    x = 465.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.