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Finding the Third Proportional to 13,551 and 21,581.25

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Solution

The third proportional to 13,551 and 21,581.25 is: 34,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551 : 21,581.25 = 21,581.25 : x
  2. Step 2: Convert to fraction form
    13,551/21,581.25 = 21,581.25/x
  3. Step 3: Cross multiply
    13,551x = 21,581.25 × 21,581.25
  4. Step 4: Simplify right side
    13,551x = 465,750,351.56
  5. Step 5: Solve for x
    x = 465,750,351.56/13,551
  6. Step 6: Final answer
    x = 34,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.