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Finding the Third Proportional to 63.09 and 137.91

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Solution

The third proportional to 63.09 and 137.91 is: 301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.09 : 137.91 = 137.91 : x
  2. Step 2: Convert to fraction form
    63.09/137.91 = 137.91/x
  3. Step 3: Cross multiply
    63.09x = 137.91 × 137.91
  4. Step 4: Simplify right side
    63.09x = 19,018.13
  5. Step 5: Solve for x
    x = 19,018.13/63.09
  6. Step 6: Final answer
    x = 301.43

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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.