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Finding the Third Proportional to 135.42 and 294.05

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Solution

The third proportional to 135.42 and 294.05 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 294.05 = 294.05 : x
  2. Step 2: Convert to fraction form
    135.42/294.05 = 294.05/x
  3. Step 3: Cross multiply
    135.42x = 294.05 × 294.05
  4. Step 4: Simplify right side
    135.42x = 86,463.56
  5. Step 5: Solve for x
    x = 86,463.56/135.42
  6. Step 6: Final answer
    x = 638.48

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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.