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Finding the Third Proportional to 119.84 and 251.78

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Solution

The third proportional to 119.84 and 251.78 is: 528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 251.78 = 251.78 : x
  2. Step 2: Convert to fraction form
    119.84/251.78 = 251.78/x
  3. Step 3: Cross multiply
    119.84x = 251.78 × 251.78
  4. Step 4: Simplify right side
    119.84x = 63,393.31
  5. Step 5: Solve for x
    x = 63,393.31/119.84
  6. Step 6: Final answer
    x = 528.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.