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Finding the Third Proportional to 135.35 and 294.40

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Solution

The third proportional to 135.35 and 294.40 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 294.40 = 294.40 : x
  2. Step 2: Convert to fraction form
    135.35/294.40 = 294.40/x
  3. Step 3: Cross multiply
    135.35x = 294.40 × 294.40
  4. Step 4: Simplify right side
    135.35x = 86,670.44
  5. Step 5: Solve for x
    x = 86,670.44/135.35
  6. Step 6: Final answer
    x = 640.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.