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Finding the Third Proportional to 119.71 and 256.21

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Solution

The third proportional to 119.71 and 256.21 is: 548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.71 : 256.21 = 256.21 : x
  2. Step 2: Convert to fraction form
    119.71/256.21 = 256.21/x
  3. Step 3: Cross multiply
    119.71x = 256.21 × 256.21
  4. Step 4: Simplify right side
    119.71x = 65,643.54
  5. Step 5: Solve for x
    x = 65,643.54/119.71
  6. Step 6: Final answer
    x = 548.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.