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Finding the Third Proportional to 257.81 and 520.13

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Solution

The third proportional to 257.81 and 520.13 is: 1,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.81 : 520.13 = 520.13 : x
  2. Step 2: Convert to fraction form
    257.81/520.13 = 520.13/x
  3. Step 3: Cross multiply
    257.81x = 520.13 × 520.13
  4. Step 4: Simplify right side
    257.81x = 270,530.02
  5. Step 5: Solve for x
    x = 270,530.02/257.81
  6. Step 6: Final answer
    x = 1,049.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.