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Finding the Third Proportional to 13,875 and 21,420

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Solution

The third proportional to 13,875 and 21,420 is: 33,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 21,420 = 21,420 : x
  2. Step 2: Convert to fraction form
    13,875/21,420 = 21,420/x
  3. Step 3: Cross multiply
    13,875x = 21,420 × 21,420
  4. Step 4: Simplify right side
    13,875x = 458,816,400
  5. Step 5: Solve for x
    x = 458,816,400/13,875
  6. Step 6: Final answer
    x = 33,067.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.