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Finding the Third Proportional to 380.81 and 538.88

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Solution

The third proportional to 380.81 and 538.88 is: 762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.81 : 538.88 = 538.88 : x
  2. Step 2: Convert to fraction form
    380.81/538.88 = 538.88/x
  3. Step 3: Cross multiply
    380.81x = 538.88 × 538.88
  4. Step 4: Simplify right side
    380.81x = 290,386.27
  5. Step 5: Solve for x
    x = 290,386.27/380.81
  6. Step 6: Final answer
    x = 762.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.