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Finding the Third Proportional to 138.16 and 300.06

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Solution

The third proportional to 138.16 and 300.06 is: 651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 300.06 = 300.06 : x
  2. Step 2: Convert to fraction form
    138.16/300.06 = 300.06/x
  3. Step 3: Cross multiply
    138.16x = 300.06 × 300.06
  4. Step 4: Simplify right side
    138.16x = 90,035.16
  5. Step 5: Solve for x
    x = 90,035.16/138.16
  6. Step 6: Final answer
    x = 651.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.