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Finding the Third Proportional to 63.50 and 135.50

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Solution

The third proportional to 63.50 and 135.50 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.50 : 135.50 = 135.50 : x
  2. Step 2: Convert to fraction form
    63.50/135.50 = 135.50/x
  3. Step 3: Cross multiply
    63.50x = 135.50 × 135.50
  4. Step 4: Simplify right side
    63.50x = 18,360.25
  5. Step 5: Solve for x
    x = 18,360.25/63.50
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.