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Finding the Third Proportional to 81.84 and 130.78

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Solution

The third proportional to 81.84 and 130.78 is: 208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 130.78 = 130.78 : x
  2. Step 2: Convert to fraction form
    81.84/130.78 = 130.78/x
  3. Step 3: Cross multiply
    81.84x = 130.78 × 130.78
  4. Step 4: Simplify right side
    81.84x = 17,103.74
  5. Step 5: Solve for x
    x = 17,103.74/81.84
  6. Step 6: Final answer
    x = 208.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.