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Finding the Third Proportional to 21,612 and 39,672

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Solution

The third proportional to 21,612 and 39,672 is: 72,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612 : 39,672 = 39,672 : x
  2. Step 2: Convert to fraction form
    21,612/39,672 = 39,672/x
  3. Step 3: Cross multiply
    21,612x = 39,672 × 39,672
  4. Step 4: Simplify right side
    21,612x = 1,573,867,584
  5. Step 5: Solve for x
    x = 1,573,867,584/21,612
  6. Step 6: Final answer
    x = 72,823.78

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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.