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Finding the Third Proportional to 63.99 and 134.87

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Solution

The third proportional to 63.99 and 134.87 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.99 : 134.87 = 134.87 : x
  2. Step 2: Convert to fraction form
    63.99/134.87 = 134.87/x
  3. Step 3: Cross multiply
    63.99x = 134.87 × 134.87
  4. Step 4: Simplify right side
    63.99x = 18,189.42
  5. Step 5: Solve for x
    x = 18,189.42/63.99
  6. Step 6: Final answer
    x = 284.24

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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.