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Finding the Third Proportional to 20,680 and 23,752

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Solution

The third proportional to 20,680 and 23,752 is: 27,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680 : 23,752 = 23,752 : x
  2. Step 2: Convert to fraction form
    20,680/23,752 = 23,752/x
  3. Step 3: Cross multiply
    20,680x = 23,752 × 23,752
  4. Step 4: Simplify right side
    20,680x = 564,157,504
  5. Step 5: Solve for x
    x = 564,157,504/20,680
  6. Step 6: Final answer
    x = 27,280.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.