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Finding the Third Proportional to 8,460 and 13,021

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Solution

The third proportional to 8,460 and 13,021 is: 20,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 13,021 = 13,021 : x
  2. Step 2: Convert to fraction form
    8,460/13,021 = 13,021/x
  3. Step 3: Cross multiply
    8,460x = 13,021 × 13,021
  4. Step 4: Simplify right side
    8,460x = 169,546,441
  5. Step 5: Solve for x
    x = 169,546,441/8,460
  6. Step 6: Final answer
    x = 20,040.95

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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.