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Finding the Third Proportional to 138.63 and 303.13

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Solution

The third proportional to 138.63 and 303.13 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.63 : 303.13 = 303.13 : x
  2. Step 2: Convert to fraction form
    138.63/303.13 = 303.13/x
  3. Step 3: Cross multiply
    138.63x = 303.13 × 303.13
  4. Step 4: Simplify right side
    138.63x = 91,884.77
  5. Step 5: Solve for x
    x = 91,884.77/138.63
  6. Step 6: Final answer
    x = 662.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.