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Finding the Third Proportional to 20,700 and 27,832

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Solution

The third proportional to 20,700 and 27,832 is: 37,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700 : 27,832 = 27,832 : x
  2. Step 2: Convert to fraction form
    20,700/27,832 = 27,832/x
  3. Step 3: Cross multiply
    20,700x = 27,832 × 27,832
  4. Step 4: Simplify right side
    20,700x = 774,620,224
  5. Step 5: Solve for x
    x = 774,620,224/20,700
  6. Step 6: Final answer
    x = 37,421.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.