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Finding the Third Proportional to 136.41 and 235.55

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Solution

The third proportional to 136.41 and 235.55 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.41 : 235.55 = 235.55 : x
  2. Step 2: Convert to fraction form
    136.41/235.55 = 235.55/x
  3. Step 3: Cross multiply
    136.41x = 235.55 × 235.55
  4. Step 4: Simplify right side
    136.41x = 55,482.33
  5. Step 5: Solve for x
    x = 55,482.33/136.41
  6. Step 6: Final answer
    x = 406.74

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.