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Finding the Third Proportional to 13,292 and 21,154

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Solution

The third proportional to 13,292 and 21,154 is: 33,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292 : 21,154 = 21,154 : x
  2. Step 2: Convert to fraction form
    13,292/21,154 = 21,154/x
  3. Step 3: Cross multiply
    13,292x = 21,154 × 21,154
  4. Step 4: Simplify right side
    13,292x = 447,491,716
  5. Step 5: Solve for x
    x = 447,491,716/13,292
  6. Step 6: Final answer
    x = 33,666.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.