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Finding the Third Proportional to 125.84 and 222.94

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Solution

The third proportional to 125.84 and 222.94 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 222.94 = 222.94 : x
  2. Step 2: Convert to fraction form
    125.84/222.94 = 222.94/x
  3. Step 3: Cross multiply
    125.84x = 222.94 × 222.94
  4. Step 4: Simplify right side
    125.84x = 49,701.13
  5. Step 5: Solve for x
    x = 49,701.13/125.84
  6. Step 6: Final answer
    x = 394.94

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.