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Finding the Third Proportional to 63.84 and 130.22

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Solution

The third proportional to 63.84 and 130.22 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.84 : 130.22 = 130.22 : x
  2. Step 2: Convert to fraction form
    63.84/130.22 = 130.22/x
  3. Step 3: Cross multiply
    63.84x = 130.22 × 130.22
  4. Step 4: Simplify right side
    63.84x = 16,956.92
  5. Step 5: Solve for x
    x = 16,956.92/63.84
  6. Step 6: Final answer
    x = 265.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.