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Finding the Third Proportional to 135.70 and 239.77

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Solution

The third proportional to 135.70 and 239.77 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 239.77 = 239.77 : x
  2. Step 2: Convert to fraction form
    135.70/239.77 = 239.77/x
  3. Step 3: Cross multiply
    135.70x = 239.77 × 239.77
  4. Step 4: Simplify right side
    135.70x = 57,487.55
  5. Step 5: Solve for x
    x = 57,487.55/135.70
  6. Step 6: Final answer
    x = 423.63

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.