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Finding the Third Proportional to 216.88 and 515.38

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Solution

The third proportional to 216.88 and 515.38 is: 1,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 515.38 = 515.38 : x
  2. Step 2: Convert to fraction form
    216.88/515.38 = 515.38/x
  3. Step 3: Cross multiply
    216.88x = 515.38 × 515.38
  4. Step 4: Simplify right side
    216.88x = 265,611.39
  5. Step 5: Solve for x
    x = 265,611.39/216.88
  6. Step 6: Final answer
    x = 1,224.72

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.