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Finding the Third Proportional to 13,957 and 21,576

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Solution

The third proportional to 13,957 and 21,576 is: 33,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957 : 21,576 = 21,576 : x
  2. Step 2: Convert to fraction form
    13,957/21,576 = 21,576/x
  3. Step 3: Cross multiply
    13,957x = 21,576 × 21,576
  4. Step 4: Simplify right side
    13,957x = 465,523,776
  5. Step 5: Solve for x
    x = 465,523,776/13,957
  6. Step 6: Final answer
    x = 33,354.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.