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Finding the Third Proportional to 103.50 and 135.56

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Solution

The third proportional to 103.50 and 135.56 is: 177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 135.56 = 135.56 : x
  2. Step 2: Convert to fraction form
    103.50/135.56 = 135.56/x
  3. Step 3: Cross multiply
    103.50x = 135.56 × 135.56
  4. Step 4: Simplify right side
    103.50x = 18,377.19
  5. Step 5: Solve for x
    x = 18,377.19/103.50
  6. Step 6: Final answer
    x = 177.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.