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Finding the Third Proportional to 20,760 and 27,968

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Solution

The third proportional to 20,760 and 27,968 is: 37,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 27,968 = 27,968 : x
  2. Step 2: Convert to fraction form
    20,760/27,968 = 27,968/x
  3. Step 3: Cross multiply
    20,760x = 27,968 × 27,968
  4. Step 4: Simplify right side
    20,760x = 782,209,024
  5. Step 5: Solve for x
    x = 782,209,024/20,760
  6. Step 6: Final answer
    x = 37,678.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.