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Finding the Third Proportional to 63.63 and 137.71

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Solution

The third proportional to 63.63 and 137.71 is: 298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.63 : 137.71 = 137.71 : x
  2. Step 2: Convert to fraction form
    63.63/137.71 = 137.71/x
  3. Step 3: Cross multiply
    63.63x = 137.71 × 137.71
  4. Step 4: Simplify right side
    63.63x = 18,963.23
  5. Step 5: Solve for x
    x = 18,963.23/63.63
  6. Step 6: Final answer
    x = 298.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.