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Finding the Third Proportional to 172.97 and 268.10

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Solution

The third proportional to 172.97 and 268.10 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 268.10 = 268.10 : x
  2. Step 2: Convert to fraction form
    172.97/268.10 = 268.10/x
  3. Step 3: Cross multiply
    172.97x = 268.10 × 268.10
  4. Step 4: Simplify right side
    172.97x = 71,878.45
  5. Step 5: Solve for x
    x = 71,878.45/172.97
  6. Step 6: Final answer
    x = 415.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.