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Finding the Third Proportional to 138.16 and 295.73

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Solution

The third proportional to 138.16 and 295.73 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 295.73 = 295.73 : x
  2. Step 2: Convert to fraction form
    138.16/295.73 = 295.73/x
  3. Step 3: Cross multiply
    138.16x = 295.73 × 295.73
  4. Step 4: Simplify right side
    138.16x = 87,458.82
  5. Step 5: Solve for x
    x = 87,458.82/138.16
  6. Step 6: Final answer
    x = 633.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.