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Finding the Third Proportional to 18,642 and 21,072

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Solution

The third proportional to 18,642 and 21,072 is: 23,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 21,072 = 21,072 : x
  2. Step 2: Convert to fraction form
    18,642/21,072 = 21,072/x
  3. Step 3: Cross multiply
    18,642x = 21,072 × 21,072
  4. Step 4: Simplify right side
    18,642x = 444,029,184
  5. Step 5: Solve for x
    x = 444,029,184/18,642
  6. Step 6: Final answer
    x = 23,818.75

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.