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Finding the Third Proportional to 21,680 and 39,832

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Solution

The third proportional to 21,680 and 39,832 is: 73,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680 : 39,832 = 39,832 : x
  2. Step 2: Convert to fraction form
    21,680/39,832 = 39,832/x
  3. Step 3: Cross multiply
    21,680x = 39,832 × 39,832
  4. Step 4: Simplify right side
    21,680x = 1,586,588,224
  5. Step 5: Solve for x
    x = 1,586,588,224/21,680
  6. Step 6: Final answer
    x = 73,182.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.