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Finding the Third Proportional to 135.62 and 291.84

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Solution

The third proportional to 135.62 and 291.84 is: 628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 291.84 = 291.84 : x
  2. Step 2: Convert to fraction form
    135.62/291.84 = 291.84/x
  3. Step 3: Cross multiply
    135.62x = 291.84 × 291.84
  4. Step 4: Simplify right side
    135.62x = 85,172.77
  5. Step 5: Solve for x
    x = 85,172.77/135.62
  6. Step 6: Final answer
    x = 628.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.