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Finding the Third Proportional to 13,913 and 21,534

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Solution

The third proportional to 13,913 and 21,534 is: 33,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913 : 21,534 = 21,534 : x
  2. Step 2: Convert to fraction form
    13,913/21,534 = 21,534/x
  3. Step 3: Cross multiply
    13,913x = 21,534 × 21,534
  4. Step 4: Simplify right side
    13,913x = 463,713,156
  5. Step 5: Solve for x
    x = 463,713,156/13,913
  6. Step 6: Final answer
    x = 33,329.49

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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.