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Finding the Third Proportional to 90.84 and 129.94

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Solution

The third proportional to 90.84 and 129.94 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.84 : 129.94 = 129.94 : x
  2. Step 2: Convert to fraction form
    90.84/129.94 = 129.94/x
  3. Step 3: Cross multiply
    90.84x = 129.94 × 129.94
  4. Step 4: Simplify right side
    90.84x = 16,883.75
  5. Step 5: Solve for x
    x = 16,883.75/90.84
  6. Step 6: Final answer
    x = 185.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.