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Finding the Third Proportional to 13,815 and 18,758.25

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Solution

The third proportional to 13,815 and 18,758.25 is: 25,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815 : 18,758.25 = 18,758.25 : x
  2. Step 2: Convert to fraction form
    13,815/18,758.25 = 18,758.25/x
  3. Step 3: Cross multiply
    13,815x = 18,758.25 × 18,758.25
  4. Step 4: Simplify right side
    13,815x = 351,871,943.06
  5. Step 5: Solve for x
    x = 351,871,943.06/13,815
  6. Step 6: Final answer
    x = 25,470.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.