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Finding the Third Proportional to 51.33 and 135.91

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Solution

The third proportional to 51.33 and 135.91 is: 359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.33 : 135.91 = 135.91 : x
  2. Step 2: Convert to fraction form
    51.33/135.91 = 135.91/x
  3. Step 3: Cross multiply
    51.33x = 135.91 × 135.91
  4. Step 4: Simplify right side
    51.33x = 18,472.63
  5. Step 5: Solve for x
    x = 18,472.63/51.33
  6. Step 6: Final answer
    x = 359.89

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.