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Finding the Third Proportional to 178.45 and 268.95

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Solution

The third proportional to 178.45 and 268.95 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 268.95 = 268.95 : x
  2. Step 2: Convert to fraction form
    178.45/268.95 = 268.95/x
  3. Step 3: Cross multiply
    178.45x = 268.95 × 268.95
  4. Step 4: Simplify right side
    178.45x = 72,331.58
  5. Step 5: Solve for x
    x = 72,331.58/178.45
  6. Step 6: Final answer
    x = 405.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.