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Finding the Third Proportional to 181.81 and 272.13

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Solution

The third proportional to 181.81 and 272.13 is: 407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.81 : 272.13 = 272.13 : x
  2. Step 2: Convert to fraction form
    181.81/272.13 = 272.13/x
  3. Step 3: Cross multiply
    181.81x = 272.13 × 272.13
  4. Step 4: Simplify right side
    181.81x = 74,052.02
  5. Step 5: Solve for x
    x = 74,052.02/181.81
  6. Step 6: Final answer
    x = 407.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.