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Finding the Third Proportional to 272.11 and 368.30

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Solution

The third proportional to 272.11 and 368.30 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.11 : 368.30 = 368.30 : x
  2. Step 2: Convert to fraction form
    272.11/368.30 = 368.30/x
  3. Step 3: Cross multiply
    272.11x = 368.30 × 368.30
  4. Step 4: Simplify right side
    272.11x = 135,642.59
  5. Step 5: Solve for x
    x = 135,642.59/272.11
  6. Step 6: Final answer
    x = 498.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.