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Finding the Third Proportional to 119.75 and 257.84

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Solution

The third proportional to 119.75 and 257.84 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 257.84 = 257.84 : x
  2. Step 2: Convert to fraction form
    119.75/257.84 = 257.84/x
  3. Step 3: Cross multiply
    119.75x = 257.84 × 257.84
  4. Step 4: Simplify right side
    119.75x = 66,479.02
  5. Step 5: Solve for x
    x = 66,479.02/119.75
  6. Step 6: Final answer
    x = 555.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.