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Finding the Third Proportional to 138.23 and 292.36

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Solution

The third proportional to 138.23 and 292.36 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 292.36 = 292.36 : x
  2. Step 2: Convert to fraction form
    138.23/292.36 = 292.36/x
  3. Step 3: Cross multiply
    138.23x = 292.36 × 292.36
  4. Step 4: Simplify right side
    138.23x = 85,474.00
  5. Step 5: Solve for x
    x = 85,474.00/138.23
  6. Step 6: Final answer
    x = 618.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.