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Finding the Third Proportional to 234.72 and 368.19

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Solution

The third proportional to 234.72 and 368.19 is: 577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 368.19 = 368.19 : x
  2. Step 2: Convert to fraction form
    234.72/368.19 = 368.19/x
  3. Step 3: Cross multiply
    234.72x = 368.19 × 368.19
  4. Step 4: Simplify right side
    234.72x = 135,561.68
  5. Step 5: Solve for x
    x = 135,561.68/234.72
  6. Step 6: Final answer
    x = 577.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.