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Finding the Third Proportional to 21,024 and 27,120

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Solution

The third proportional to 21,024 and 27,120 is: 34,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 27,120 = 27,120 : x
  2. Step 2: Convert to fraction form
    21,024/27,120 = 27,120/x
  3. Step 3: Cross multiply
    21,024x = 27,120 × 27,120
  4. Step 4: Simplify right side
    21,024x = 735,494,400
  5. Step 5: Solve for x
    x = 735,494,400/21,024
  6. Step 6: Final answer
    x = 34,983.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.