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Finding the Third Proportional to 13,971 and 21,580

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Solution

The third proportional to 13,971 and 21,580 is: 33,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 21,580 = 21,580 : x
  2. Step 2: Convert to fraction form
    13,971/21,580 = 21,580/x
  3. Step 3: Cross multiply
    13,971x = 21,580 × 21,580
  4. Step 4: Simplify right side
    13,971x = 465,696,400
  5. Step 5: Solve for x
    x = 465,696,400/13,971
  6. Step 6: Final answer
    x = 33,333.08

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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.