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Finding the Third Proportional to 135.42 and 210.52

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Solution

The third proportional to 135.42 and 210.52 is: 327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 210.52 = 210.52 : x
  2. Step 2: Convert to fraction form
    135.42/210.52 = 210.52/x
  3. Step 3: Cross multiply
    135.42x = 210.52 × 210.52
  4. Step 4: Simplify right side
    135.42x = 44,316.83
  5. Step 5: Solve for x
    x = 44,316.83/135.42
  6. Step 6: Final answer
    x = 327.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.