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Finding the Third Proportional to 135.42 and 293.20

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Solution

The third proportional to 135.42 and 293.20 is: 634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 293.20 = 293.20 : x
  2. Step 2: Convert to fraction form
    135.42/293.20 = 293.20/x
  3. Step 3: Cross multiply
    135.42x = 293.20 × 293.20
  4. Step 4: Simplify right side
    135.42x = 85,968.07
  5. Step 5: Solve for x
    x = 85,968.07/135.42
  6. Step 6: Final answer
    x = 634.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.