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Finding the Third Proportional to 178.59 and 272.81

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Solution

The third proportional to 178.59 and 272.81 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 272.81 = 272.81 : x
  2. Step 2: Convert to fraction form
    178.59/272.81 = 272.81/x
  3. Step 3: Cross multiply
    178.59x = 272.81 × 272.81
  4. Step 4: Simplify right side
    178.59x = 74,426.66
  5. Step 5: Solve for x
    x = 74,426.66/178.59
  6. Step 6: Final answer
    x = 416.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.