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Finding the Third Proportional to 18,898 and 39,623

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Solution

The third proportional to 18,898 and 39,623 is: 83,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,898 : 39,623 = 39,623 : x
  2. Step 2: Convert to fraction form
    18,898/39,623 = 39,623/x
  3. Step 3: Cross multiply
    18,898x = 39,623 × 39,623
  4. Step 4: Simplify right side
    18,898x = 1,569,982,129
  5. Step 5: Solve for x
    x = 1,569,982,129/18,898
  6. Step 6: Final answer
    x = 83,076.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.