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Finding the Third Proportional to 251.69 and 515.38

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Solution

The third proportional to 251.69 and 515.38 is: 1,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.69 : 515.38 = 515.38 : x
  2. Step 2: Convert to fraction form
    251.69/515.38 = 515.38/x
  3. Step 3: Cross multiply
    251.69x = 515.38 × 515.38
  4. Step 4: Simplify right side
    251.69x = 265,611.39
  5. Step 5: Solve for x
    x = 265,611.39/251.69
  6. Step 6: Final answer
    x = 1,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.