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Finding the Third Proportional to 2,551 and 5,513

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Solution

The third proportional to 2,551 and 5,513 is: 11,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551 : 5,513 = 5,513 : x
  2. Step 2: Convert to fraction form
    2,551/5,513 = 5,513/x
  3. Step 3: Cross multiply
    2,551x = 5,513 × 5,513
  4. Step 4: Simplify right side
    2,551x = 30,393,169
  5. Step 5: Solve for x
    x = 30,393,169/2,551
  6. Step 6: Final answer
    x = 11,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.