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Finding the Third Proportional to 21,016 and 38,672

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Solution

The third proportional to 21,016 and 38,672 is: 71,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016 : 38,672 = 38,672 : x
  2. Step 2: Convert to fraction form
    21,016/38,672 = 38,672/x
  3. Step 3: Cross multiply
    21,016x = 38,672 × 38,672
  4. Step 4: Simplify right side
    21,016x = 1,495,523,584
  5. Step 5: Solve for x
    x = 1,495,523,584/21,016
  6. Step 6: Final answer
    x = 71,161.19

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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.